(-2x-7)(-9x-8)=

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Solution for (-2x-7)(-9x-8)= equation: 


Simplifying
(-2x + -7)(-9x + -8) = 0

Reorder the terms:
(-7 + -2x)(-9x + -8) = 0

Reorder the terms:
(-7 + -2x)(-8 + -9x) = 0

Multiply (-7 + -2x) * (-8 + -9x)
(-7(-8 + -9x) + -2x * (-8 + -9x)) = 0
((-8 * -7 + -9x * -7) + -2x * (-8 + -9x)) = 0
((56 + 63x) + -2x * (-8 + -9x)) = 0
(56 + 63x + (-8 * -2x + -9x * -2x)) = 0
(56 + 63x + (16x + 18x2)) = 0

Combine like terms: 63x + 16x = 79x
(56 + 79x + 18x2) = 0

Solving
56 + 79x + 18x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(7 + 2x)(8 + 9x) = 0


Subproblem 1
Set the factor '(7 + 2x)' equal to zero and attempt to solve:

Simplifying
7 + 2x = 0

Solving
7 + 2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + 2x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2x = 0 + -7
2x = 0 + -7

Combine like terms: 0 + -7 = -7
2x = -7

Divide each side by '2'.
x = -3.5

Simplifying
x = -3.5

Subproblem 2
Set the factor '(8 + 9x)' equal to zero and attempt to solve:

Simplifying
8 + 9x = 0

Solving
8 + 9x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-8' to each side of the equation.
8 + -8 + 9x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 9x = 0 + -8
9x = 0 + -8

Combine like terms: 0 + -8 = -8
9x = -8

Divide each side by '9'.
x = -0.8888888889

Simplifying
x = -0.8888888889
Solution
x = {-3.5, -0.8888888889}

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