(8x-7)(9x-7)=0

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Solution for (8x-7)(9x-7)=0 equation: 


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

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

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

Multiply (-7 + 8x) * (-7 + 9x)
(-7(-7 + 9x) + 8x * (-7 + 9x)) = 0
((-7 * -7 + 9x * -7) + 8x * (-7 + 9x)) = 0
((49 + -63x) + 8x * (-7 + 9x)) = 0
(49 + -63x + (-7 * 8x + 9x * 8x)) = 0
(49 + -63x + (-56x + 72x2)) = 0

Combine like terms: -63x + -56x = -119x
(49 + -119x + 72x2) = 0

Solving
49 + -119x + 72x2 = 0

Solving for variable 'x'.

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


Subproblem 1
Set the factor '(7 + -9x)' equal to zero and attempt to solve:

Simplifying
7 + -9x = 0

Solving
7 + -9x = 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 + -9x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -9x = 0 + -7
-9x = 0 + -7

Combine like terms: 0 + -7 = -7
-9x = -7

Divide each side by '-9'.
x = 0.7777777778

Simplifying
x = 0.7777777778

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 = {0.7777777778, 0.875}

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