(6x+7)(-8x-7)=

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Solution for (6x+7)(-8x-7)= equation: 


Simplifying
(6x + 7)(-8x + -7) = 0

Reorder the terms:
(7 + 6x)(-8x + -7) = 0

Reorder the terms:
(7 + 6x)(-7 + -8x) = 0

Multiply (7 + 6x) * (-7 + -8x)
(7(-7 + -8x) + 6x * (-7 + -8x)) = 0
((-7 * 7 + -8x * 7) + 6x * (-7 + -8x)) = 0
((-49 + -56x) + 6x * (-7 + -8x)) = 0
(-49 + -56x + (-7 * 6x + -8x * 6x)) = 0
(-49 + -56x + (-42x + -48x2)) = 0

Combine like terms: -56x + -42x = -98x
(-49 + -98x + -48x2) = 0

Solving
-49 + -98x + -48x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(49 + 98x + 48x2) = 0

Factor a trinomial.
-1((7 + 6x)(7 + 8x)) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(7 + 6x)' equal to zero and attempt to solve:

Simplifying
7 + 6x = 0

Solving
7 + 6x = 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 + 6x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 6x = 0 + -7
6x = 0 + -7

Combine like terms: 0 + -7 = -7
6x = -7

Divide each side by '6'.
x = -1.166666667

Simplifying
x = -1.166666667

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

Simplifying
7 + 8x = 0

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

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

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

Divide each side by '8'.
x = -0.875

Simplifying
x = -0.875
Solution
x = {-1.166666667, -0.875}

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