(-9-x)(-8-7x)=-16-14x

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Solution for (-9-x)(-8-7x)=-16-14x equation:


Simplifying
(-9 + -1x)(-8 + -7x) = -16 + -14x

Multiply (-9 + -1x) * (-8 + -7x)
(-9(-8 + -7x) + -1x * (-8 + -7x)) = -16 + -14x
((-8 * -9 + -7x * -9) + -1x * (-8 + -7x)) = -16 + -14x
((72 + 63x) + -1x * (-8 + -7x)) = -16 + -14x
(72 + 63x + (-8 * -1x + -7x * -1x)) = -16 + -14x
(72 + 63x + (8x + 7x2)) = -16 + -14x

Combine like terms: 63x + 8x = 71x
(72 + 71x + 7x2) = -16 + -14x

Solving
72 + 71x + 7x2 = -16 + -14x

Solving for variable 'x'.

Reorder the terms:
72 + 16 + 71x + 14x + 7x2 = -16 + -14x + 16 + 14x

Combine like terms: 72 + 16 = 88
88 + 71x + 14x + 7x2 = -16 + -14x + 16 + 14x

Combine like terms: 71x + 14x = 85x
88 + 85x + 7x2 = -16 + -14x + 16 + 14x

Reorder the terms:
88 + 85x + 7x2 = -16 + 16 + -14x + 14x

Combine like terms: -16 + 16 = 0
88 + 85x + 7x2 = 0 + -14x + 14x
88 + 85x + 7x2 = -14x + 14x

Combine like terms: -14x + 14x = 0
88 + 85x + 7x2 = 0

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


Subproblem 1
Set the factor '(11 + x)' equal to zero and attempt to solve:

Simplifying
11 + x = 0

Solving
11 + x = 0

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

Add '-11' to each side of the equation.
11 + -11 + x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + x = 0 + -11
x = 0 + -11

Combine like terms: 0 + -11 = -11
x = -11

Simplifying
x = -11

Subproblem 2
Set the factor '(8 + 7x)' equal to zero and attempt to solve:

Simplifying
8 + 7x = 0

Solving
8 + 7x = 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 + 7x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 7x = 0 + -8
7x = 0 + -8

Combine like terms: 0 + -8 = -8
7x = -8

Divide each side by '7'.
x = -1.142857143

Simplifying
x = -1.142857143
Solution
x = {-11, -1.142857143}

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