(2x-14)(x+13)=

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Solution for (2x-14)(x+13)= equation: 


Simplifying
(2x + -14)(x + 13) = 0

Reorder the terms:
(-14 + 2x)(x + 13) = 0

Reorder the terms:
(-14 + 2x)(13 + x) = 0

Multiply (-14 + 2x) * (13 + x)
(-14(13 + x) + 2x * (13 + x)) = 0
((13 * -14 + x * -14) + 2x * (13 + x)) = 0
((-182 + -14x) + 2x * (13 + x)) = 0
(-182 + -14x + (13 * 2x + x * 2x)) = 0
(-182 + -14x + (26x + 2x2)) = 0

Combine like terms: -14x + 26x = 12x
(-182 + 12x + 2x2) = 0

Solving
-182 + 12x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-91 + 6x + x2) = 0

Factor a trinomial.
2((-13 + -1x)(7 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-13 + -1x)' equal to zero and attempt to solve:

Simplifying
-13 + -1x = 0

Solving
-13 + -1x = 0

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

Add '13' to each side of the equation.
-13 + 13 + -1x = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -1x = 0 + 13
-1x = 0 + 13

Combine like terms: 0 + 13 = 13
-1x = 13

Divide each side by '-1'.
x = -13

Simplifying
x = -13

Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 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 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {-13, 7}

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