Solve For M (2m^2+3m-5)/(m^2+4m-5)=4 - Mathway

Enter a problem... Algebra Examples Popular Problems Algebra Solve for m (2m^2+3m-5)/(m^2+4m-5)=4 Step 1Factor each term.Tap for more steps...Step 1.1Factor by grouping.Tap for more steps...Step 1.1.1For a polynomial of the form , rewrite the middle term as a sum of two terms whose product is and whose sum is .Tap for more steps...Step 1.1.1.1Factor out of .Step 1.1.1.2Rewrite as plus Step 1.1.1.3Apply the distributive property.Step 1.1.2Factor out the greatest common factor from each group.Tap for more steps...Step 1.1.2.1Group the first two terms and the last two terms.Step 1.1.2.2Factor out the greatest common factor (GCF) from each group.Step 1.1.3Factor the polynomial by factoring out the greatest common factor, .Step 1.2Factor using the AC method.Tap for more steps...Step 1.2.1Consider the form . Find a pair of integers whose product is and whose sum is . In this case, whose product is and whose sum is .Step 1.2.2Write the factored form using these integers.Step 1.3Reduce the expression by cancelling the common factors.Tap for more steps...Step 1.3.1Cancel the common factor.Step 1.3.2Rewrite the expression.Step 2Find the LCD of the terms in the equation.Tap for more steps...Step 2.1Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.Step 2.2Remove parentheses.Step 2.3The LCM of one and any expression is the expression.Step 3Multiply each term in by to eliminate the fractions.Tap for more steps...Step 3.1Multiply each term in by .Step 3.2Simplify the left side.Tap for more steps...Step 3.2.1Cancel the common factor of .Tap for more steps...Step 3.2.1.1Cancel the common factor.Step 3.2.1.2Rewrite the expression.Step 3.3Simplify the right side.Tap for more steps...Step 3.3.1Apply the distributive property.Step 3.3.2Multiply by .Step 4Solve the equation.Tap for more steps...Step 4.1Move all terms containing to the left side of the equation.Tap for more steps...Step 4.1.1Subtract from both sides of the equation.Step 4.1.2Subtract from .Step 4.2Move all terms not containing to the right side of the equation.Tap for more steps...Step 4.2.1Subtract from both sides of the equation.Step 4.2.2Subtract from .Step 4.3Divide each term in by and simplify.Tap for more steps...Step 4.3.1Divide each term in by .Step 4.3.2Simplify the left side.Tap for more steps...Step 4.3.2.1Cancel the common factor of .Tap for more steps...Step 4.3.2.1.1Cancel the common factor.Step 4.3.2.1.2Divide by .Step 4.3.3Simplify the right side.Tap for more steps...Step 4.3.3.1Move the negative in front of the fraction.Step 5The result can be shown in multiple forms.Exact Form:Decimal Form:Mixed Number Form:

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