Question

6x^2-6x-36 find x value
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Answer 1

Answer:

STEP

1

:

Equation at the end of step 1

((2•3x2) - 6x) - 36 = 0

STEP

2

:

STEP

3

:

Pulling out like terms

3.1 Pull out like factors :

6x2 - 6x - 36 = 6 • (x2 - x - 6)

Trying to factor by splitting the middle term

3.2 Factoring x2 - x - 6

The first term is, x2 its coefficient is 1 .

The middle term is, -x its coefficient is -1 .

The last term, "the constant", is -6

Step-1 : Multiply the coefficient of the first term by the constant 1 • -6 = -6

Step-2 : Find two factors of -6 whose sum equals the coefficient of the middle term, which is -1 .

-6 + 1 = -5

-3 + 2 = -1 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -3 and 2

x2 - 3x + 2x - 6

Step-4 : Add up the first 2 terms, pulling out like factors :

x • (x-3)

Add up the last 2 terms, pulling out common factors :

2 • (x-3)

Step-5 : Add up the four terms of step 4 :

(x+2) • (x-3)

Which is the desired factorization

Equation at the end of step

3

:

6 • (x + 2) • (x - 3) = 0

Step-by-step explanation:

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