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

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


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

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

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

Multiply (-8 + 7x) * (-8 + 6x)
(-8(-8 + 6x) + 7x * (-8 + 6x)) = 0
((-8 * -8 + 6x * -8) + 7x * (-8 + 6x)) = 0
((64 + -48x) + 7x * (-8 + 6x)) = 0
(64 + -48x + (-8 * 7x + 6x * 7x)) = 0
(64 + -48x + (-56x + 42x2)) = 0

Combine like terms: -48x + -56x = -104x
(64 + -104x + 42x2) = 0

Solving
64 + -104x + 42x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(32 + -52x + 21x2) = 0

Factor a trinomial.
2((8 + -7x)(4 + -3x)) = 0

Ignore the factor 2.

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 '(4 + -3x)' equal to zero and attempt to solve:

Simplifying
4 + -3x = 0

Solving
4 + -3x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = 0 + -4
-3x = 0 + -4

Combine like terms: 0 + -4 = -4
-3x = -4

Divide each side by '-3'.
x = 1.333333333

Simplifying
x = 1.333333333
Solution
x = {1.142857143, 1.333333333}

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