(13x+12)(-14-13x)=

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Solution for (13x+12)(-14-13x)= equation:


Simplifying
(13x + 12)(-14 + -13x) = 0

Reorder the terms:
(12 + 13x)(-14 + -13x) = 0

Multiply (12 + 13x) * (-14 + -13x)
(12(-14 + -13x) + 13x * (-14 + -13x)) = 0
((-14 * 12 + -13x * 12) + 13x * (-14 + -13x)) = 0
((-168 + -156x) + 13x * (-14 + -13x)) = 0
(-168 + -156x + (-14 * 13x + -13x * 13x)) = 0
(-168 + -156x + (-182x + -169x2)) = 0

Combine like terms: -156x + -182x = -338x
(-168 + -338x + -169x2) = 0

Solving
-168 + -338x + -169x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(168 + 338x + 169x2) = 0

Factor a trinomial.
-1((14 + 13x)(12 + 13x)) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(14 + 13x)' equal to zero and attempt to solve:

Simplifying
14 + 13x = 0

Solving
14 + 13x = 0

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

Add '-14' to each side of the equation.
14 + -14 + 13x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + 13x = 0 + -14
13x = 0 + -14

Combine like terms: 0 + -14 = -14
13x = -14

Divide each side by '13'.
x = -1.076923077

Simplifying
x = -1.076923077

Subproblem 2
Set the factor '(12 + 13x)' equal to zero and attempt to solve:

Simplifying
12 + 13x = 0

Solving
12 + 13x = 0

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

Add '-12' to each side of the equation.
12 + -12 + 13x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 13x = 0 + -12
13x = 0 + -12

Combine like terms: 0 + -12 = -12
13x = -12

Divide each side by '13'.
x = -0.9230769231

Simplifying
x = -0.9230769231
Solution
x = {-1.076923077, -0.9230769231}

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