(13+26x)(9x+12)=0

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Solution for (13+26x)(9x+12)=0 equation:


Simplifying
(13 + 26x)(9x + 12) = 0

Reorder the terms:
(13 + 26x)(12 + 9x) = 0

Multiply (13 + 26x) * (12 + 9x)
(13(12 + 9x) + 26x * (12 + 9x)) = 0
((12 * 13 + 9x * 13) + 26x * (12 + 9x)) = 0
((156 + 117x) + 26x * (12 + 9x)) = 0
(156 + 117x + (12 * 26x + 9x * 26x)) = 0
(156 + 117x + (312x + 234x2)) = 0

Combine like terms: 117x + 312x = 429x
(156 + 429x + 234x2) = 0

Solving
156 + 429x + 234x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '39'.
39(4 + 11x + 6x2) = 0

Factor a trinomial.
39((4 + 3x)(1 + 2x)) = 0

Ignore the factor 39.

Subproblem 1
Set the factor '(4 + 3x)' equal to zero and attempt to solve:

Simplifying
4 + 3x = 0

Solving
4 + 3x = 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 + 3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3x = 0 + -4
3x = 0 + -4

Combine like terms: 0 + -4 = -4
3x = -4

Divide each side by '3'.
x = -1.333333333

Simplifying
x = -1.333333333

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

Simplifying
1 + 2x = 0

Solving
1 + 2x = 0

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

Add '-1' to each side of the equation.
1 + -1 + 2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 0 + -1
2x = 0 + -1

Combine like terms: 0 + -1 = -1
2x = -1

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5
Solution
x = {-1.333333333, -0.5}

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