(13x-11)(4x+12)=

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Solution for (13x-11)(4x+12)= equation: 


Simplifying
(13x + -11)(4x + 12) = 0

Reorder the terms:
(-11 + 13x)(4x + 12) = 0

Reorder the terms:
(-11 + 13x)(12 + 4x) = 0

Multiply (-11 + 13x) * (12 + 4x)
(-11(12 + 4x) + 13x * (12 + 4x)) = 0
((12 * -11 + 4x * -11) + 13x * (12 + 4x)) = 0
((-132 + -44x) + 13x * (12 + 4x)) = 0
(-132 + -44x + (12 * 13x + 4x * 13x)) = 0
(-132 + -44x + (156x + 52x2)) = 0

Combine like terms: -44x + 156x = 112x
(-132 + 112x + 52x2) = 0

Solving
-132 + 112x + 52x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-33 + 28x + 13x2) = 0

Factor a trinomial.
4((-3 + -1x)(11 + -13x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve:

Simplifying
-3 + -1x = 0

Solving
-3 + -1x = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = 0 + 3
-1x = 0 + 3

Combine like terms: 0 + 3 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3

Subproblem 2
Set the factor '(11 + -13x)' equal to zero and attempt to solve:

Simplifying
11 + -13x = 0

Solving
11 + -13x = 0

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

Add '-11' to each side of the equation.
11 + -11 + -13x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -13x = 0 + -11
-13x = 0 + -11

Combine like terms: 0 + -11 = -11
-13x = -11

Divide each side by '-13'.
x = 0.8461538462

Simplifying
x = 0.8461538462
Solution
x = {-3, 0.8461538462}

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