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

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


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

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

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

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

Combine like terms: 64x + 42x = 106x
(-48 + 106x + -56x2) = 0

Solving
-48 + 106x + -56x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-24 + 53x + -28x2) = 0

Factor a trinomial.
2((-8 + 7x)(3 + -4x)) = 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 '(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
Solution
x = {1.142857143, 0.75}

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