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

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


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

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

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

Multiply (-6 + 8x) * (-7 + 6x)
(-6(-7 + 6x) + 8x * (-7 + 6x)) = 0
((-7 * -6 + 6x * -6) + 8x * (-7 + 6x)) = 0
((42 + -36x) + 8x * (-7 + 6x)) = 0
(42 + -36x + (-7 * 8x + 6x * 8x)) = 0
(42 + -36x + (-56x + 48x2)) = 0

Combine like terms: -36x + -56x = -92x
(42 + -92x + 48x2) = 0

Solving
42 + -92x + 48x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(21 + -46x + 24x2) = 0

Factor a trinomial.
2((3 + -4x)(7 + -6x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(3 + -4x)' equal to zero and attempt to solve:

Simplifying
3 + -4x = 0

Solving
3 + -4x = 0

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

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

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

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

Divide each side by '-4'.
x = 0.75

Simplifying
x = 0.75

Subproblem 2
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
Solution
x = {0.75, 1.166666667}

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