Solve Linearequationswithoneunknown 3(2x-3)^2=4x ... - Tiger Algebra

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Enter an equation or problemClear Solve × Camera input is not recognized!axy/|abs|( )789*456-%123+<>0,.=abcabcdefghijklmnopqrstuvwxyz␣.Solution - Linear equations with one unknown x=910=0.900 x=9/10=0.900 x=32=1.500 x=3/2=1.500

Other Ways to Solve

Linear equations with one unknown

Step by Step Solution

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : 3*(2*x-3)^2-(4*x*(3-2*x))=0

Step by step solution :

Step 1 :

Equation at the end of step 1 :

(3 • ((2x - 3)2)) - 4x • (3 - 2x) = 0

Step 2 :

Equation at the end of step 2 :

3 • (2x - 3)2 - 4x • (3 - 2x) = 0

Step 3 :

Pulling out like terms :

3.1 Pull out 3-2x Note that 2x-3 =(-1)• 3-2x After pulling out, we are left with : (3-2x) • ( 3 * (2x-3) +( 4x * 1 ))

Equation at the end of step 3 :

(3 - 2x) • (10x - 9) = 0

Step 4 :

Theory - Roots of a product :

4.1 A product of several terms equals zero.When a product of two or more terms equals zero, then at least one of the terms must be zero.We shall now solve each term = 0 separatelyIn other words, we are going to solve as many equations as there are terms in the productAny solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation :

4.2 Solve : -2x+3 = 0Subtract 3 from both sides of the equation : -2x = -3 Multiply both sides of the equation by (-1) : 2x = 3 Divide both sides of the equation by 2: x = 3/2 = 1.500

Solving a Single Variable Equation :

4.3 Solve : 10x-9 = 0Add 9 to both sides of the equation : 10x = 9 Divide both sides of the equation by 10: x = 9/10 = 0.900

Two solutions were found :

1. x = 9/10 = 0.900
2. x = 3/2 = 1.500

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Terms and topics

• Linear equations with one unknown

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