Solve Simplificationorothersimpleresults 6x^2-7x-20 Tiger Algebra ...

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Camera Icon Enter an equation or problemClear Camera Icon Solve Camera input is not recognized!Keyboardarrow leftarrow rightenterdelsquare 2square 10axy/|abs|( )789*fractionsqrt root456-root%123+<>0,.=abcabcdefghijklmnopqrstuvwxyz␣.Solution - Simplification or other simple results (2x−5)⋅(3x+4) (2x-5)*(3x+4)

Other Ways to Solve

Simplification or other simple results
  • Solving quadratic equations by factoring
  • Solving quadratic equations by completing the square
  • Solving quadratic equations using the quadratic formula

Step by Step Solution

Step 1 :

Equation at the end of step 1 :

((2•3x2) - 7x) - 20

Step 2 :

Trying to factor by splitting the middle term

2.1 Factoring 6x2-7x-20 The first term is, 6x2 its coefficient is 6 .The middle term is, -7x its coefficient is -7 .The last term, "the constant", is -20 Step-1 : Multiply the coefficient of the first term by the constant 6 • -20 = -120 Step-2 : Find two factors of -120 whose sum equals the coefficient of the middle term, which is -7 .

-120 + 1 = -119
-60 + 2 = -58
-40 + 3 = -37
-30 + 4 = -26
-24 + 5 = -19
-20 + 6 = -14
-15 + 8 = -7 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -15 and 8 6x2 - 15x + 8x - 20Step-4 : Add up the first 2 terms, pulling out like factors : 3x • (2x-5) Add up the last 2 terms, pulling out common factors : 4 • (2x-5) Step-5 : Add up the four terms of step 4 : (3x+4) • (2x-5) Which is the desired factorization

Final result :

(2x - 5) • (3x + 4)

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