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

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


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

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

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

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

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

Solving
72 + -119x + 49x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(8 + -7x)(9 + -7x) = 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 '(9 + -7x)' equal to zero and attempt to solve:

Simplifying
9 + -7x = 0

Solving
9 + -7x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -7x = 0 + -9

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

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

Divide each side by '-7'.
x = 1.285714286

Simplifying
x = 1.285714286
Solution
x = {1.142857143, 1.285714286}

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