(7x+8)(2x-2)=

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Solution for (7x+8)(2x-2)= equation: 


Simplifying
(7x + 8)(2x + -2) = 0

Reorder the terms:
(8 + 7x)(2x + -2) = 0

Reorder the terms:
(8 + 7x)(-2 + 2x) = 0

Multiply (8 + 7x) * (-2 + 2x)
(8(-2 + 2x) + 7x * (-2 + 2x)) = 0
((-2 * 8 + 2x * 8) + 7x * (-2 + 2x)) = 0
((-16 + 16x) + 7x * (-2 + 2x)) = 0
(-16 + 16x + (-2 * 7x + 2x * 7x)) = 0
(-16 + 16x + (-14x + 14x2)) = 0

Combine like terms: 16x + -14x = 2x
(-16 + 2x + 14x2) = 0

Solving
-16 + 2x + 14x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-8 + x + 7x2) = 0

Factor a trinomial.
2((-8 + -7x)(1 + -1x)) = 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 '(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 = {-1.142857143, 1}

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