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

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Solution for (6x+7)(8x-8)=0 equation: 


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

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

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

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

Combine like terms: 56x + -48x = 8x
(-56 + 8x + 48x2) = 0

Solving
-56 + 8x + 48x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8'.
8(-7 + x + 6x2) = 0

Factor a trinomial.
8((-7 + -6x)(1 + -1x)) = 0

Ignore the factor 8.

Subproblem 1
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

Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1x = 0 + -1
-1x = 0 + -1

Combine like terms: 0 + -1 = -1
-1x = -1

Divide each side by '-1'.
x = 1

Simplifying
x = 1
Solution
x = {-1.166666667, 1}

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