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

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


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

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

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

Multiply (8 + 2x) * (-7 + 2x)
(8(-7 + 2x) + 2x * (-7 + 2x)) = 0
((-7 * 8 + 2x * 8) + 2x * (-7 + 2x)) = 0
((-56 + 16x) + 2x * (-7 + 2x)) = 0
(-56 + 16x + (-7 * 2x + 2x * 2x)) = 0
(-56 + 16x + (-14x + 4x2)) = 0

Combine like terms: 16x + -14x = 2x
(-56 + 2x + 4x2) = 0

Solving
-56 + 2x + 4x2 = 0

Solving for variable 'x'.

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

Factor a trinomial.
2((-4 + -1x)(7 + -2x)) = 0

Ignore the factor 2.

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

Simplifying
-4 + -1x = 0

Solving
-4 + -1x = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 0 + 4
-1x = 0 + 4

Combine like terms: 0 + 4 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4

Subproblem 2
Set the factor '(7 + -2x)' equal to zero and attempt to solve:

Simplifying
7 + -2x = 0

Solving
7 + -2x = 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 + -2x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2x = 0 + -7
-2x = 0 + -7

Combine like terms: 0 + -7 = -7
-2x = -7

Divide each side by '-2'.
x = 3.5

Simplifying
x = 3.5
Solution
x = {-4, 3.5}

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