Question

simplify.....

PLEASE....♥​

Answer 1

Please check the values and if values are correct then this is the right answer.

Answer 2

x = 5

x = -4

Step by step solution :

Step 1 :

Equation at the end of step 1 :

(32x2 - 9x) - 180 = 0

Step 2 :

Step 3 :

Pulling out like terms :

3.1 Pull out like factors :

9x2 - 9x - 180 = 9 • (x2 - x - 20)

Trying to factor by splitting the middle term

3.2 Factoring x2 - x - 20

The first term is, x2 its coefficient is 1 .

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

The last term, "the constant", is -20

Step-1 : Multiply the coefficient of the first term by the constant 1 • -20 = -20

Step-2 : Find two factors of -20 whose sum equals the coefficient of the middle term, which is -1 .

-20 + 1 = -19

-10 + 2 = -8

-5 + 4 = -1 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -5 and 4

x2 - 5x + 4x - 20

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

x • (x-5)

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

4 • (x-5)

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

(x+4) • (x-5)

Which is the desired factorization

Equation at the end of step 3 :

9 • (x + 4) • (x - 5) = 0

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