2x(13x+11)(2x+3)=

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Solution for 2x(13x+11)(2x+3)= equation: 


Simplifying
2x(13x + 11)(2x + 3) = 0

Reorder the terms:
2x(11 + 13x)(2x + 3) = 0

Reorder the terms:
2x(11 + 13x)(3 + 2x) = 0

Multiply (11 + 13x) * (3 + 2x)
2x(11(3 + 2x) + 13x * (3 + 2x)) = 0
2x((3 * 11 + 2x * 11) + 13x * (3 + 2x)) = 0
2x((33 + 22x) + 13x * (3 + 2x)) = 0
2x(33 + 22x + (3 * 13x + 2x * 13x)) = 0
2x(33 + 22x + (39x + 26x2)) = 0

Combine like terms: 22x + 39x = 61x
2x(33 + 61x + 26x2) = 0
(33 * 2x + 61x * 2x + 26x2 * 2x) = 0
(66x + 122x2 + 52x3) = 0

Solving
66x + 122x2 + 52x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(33 + 61x + 26x2) = 0

Factor a trinomial.
2x((3 + 2x)(11 + 13x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(3 + 2x)' equal to zero and attempt to solve:

Simplifying
3 + 2x = 0

Solving
3 + 2x = 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 + 2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = 0 + -3
2x = 0 + -3

Combine like terms: 0 + -3 = -3
2x = -3

Divide each side by '2'.
x = -1.5

Simplifying
x = -1.5

Subproblem 3
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 = {0, -1.5, -0.8461538462}

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