(-2x+5)(2x+14)=

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Solution for (-2x+5)(2x+14)= equation: 


Simplifying
(-2x + 5)(2x + 14) = 0

Reorder the terms:
(5 + -2x)(2x + 14) = 0

Reorder the terms:
(5 + -2x)(14 + 2x) = 0

Multiply (5 + -2x) * (14 + 2x)
(5(14 + 2x) + -2x * (14 + 2x)) = 0
((14 * 5 + 2x * 5) + -2x * (14 + 2x)) = 0
((70 + 10x) + -2x * (14 + 2x)) = 0
(70 + 10x + (14 * -2x + 2x * -2x)) = 0
(70 + 10x + (-28x + -4x2)) = 0

Combine like terms: 10x + -28x = -18x
(70 + -18x + -4x2) = 0

Solving
70 + -18x + -4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(35 + -9x + -2x2) = 0

Factor a trinomial.
2((5 + -2x)(7 + x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(5 + -2x)' equal to zero and attempt to solve:

Simplifying
5 + -2x = 0

Solving
5 + -2x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = 0 + -5
-2x = 0 + -5

Combine like terms: 0 + -5 = -5
-2x = -5

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5

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

Simplifying
7 + x = 0

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

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

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

Simplifying
x = -7
Solution
x = {2.5, -7}

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