(8x+7)(7x+8)=0

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Solution for (8x+7)(7x+8)=0 equation: 


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

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

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

Multiply (7 + 8x) * (8 + 7x)
(7(8 + 7x) + 8x * (8 + 7x)) = 0
((8 * 7 + 7x * 7) + 8x * (8 + 7x)) = 0
((56 + 49x) + 8x * (8 + 7x)) = 0
(56 + 49x + (8 * 8x + 7x * 8x)) = 0
(56 + 49x + (64x + 56x2)) = 0

Combine like terms: 49x + 64x = 113x
(56 + 113x + 56x2) = 0

Solving
56 + 113x + 56x2 = 0

Solving for variable 'x'.

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


Subproblem 1
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

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 = {-1.142857143, -0.875}

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