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

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Solution for (2x+2)(7x-8)=0 equation:


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

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

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

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

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

Solving
-16 + -2x + 14x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-8 + -1x + 7x2) = 0

Factor a trinomial.
2((-1 + -1x)(8 + -7x)) = 0

Ignore the factor 2.

Subproblem 1
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

Subproblem 2
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
Solution
x = {-1, 1.142857143}

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