16xy^2(3x+4)(9x-13)=

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Solution for 16xy^2(3x+4)(9x-13)= equation: 


Simplifying
16xy2(3x + 4)(9x + -13) = 0

Reorder the terms:
16xy2(4 + 3x)(9x + -13) = 0

Reorder the terms:
16xy2(4 + 3x)(-13 + 9x) = 0

Multiply (4 + 3x) * (-13 + 9x)
16xy2(4(-13 + 9x) + 3x * (-13 + 9x)) = 0
16xy2((-13 * 4 + 9x * 4) + 3x * (-13 + 9x)) = 0
16xy2((-52 + 36x) + 3x * (-13 + 9x)) = 0
16xy2(-52 + 36x + (-13 * 3x + 9x * 3x)) = 0
16xy2(-52 + 36x + (-39x + 27x2)) = 0

Combine like terms: 36x + -39x = -3x
16xy2(-52 + -3x + 27x2) = 0
(-52 * 16xy2 + -3x * 16xy2 + 27x2 * 16xy2) = 0
(-832xy2 + -48x2y2 + 432x3y2) = 0

Solving
-832xy2 + -48x2y2 + 432x3y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '16xy2'.
16xy2(-52 + -3x + 27x2) = 0

Factor a trinomial.
16xy2((-4 + -3x)(13 + -9x)) = 0

Ignore the factor 16.

Subproblem 1
Set the factor 'xy2' equal to zero and attempt to solve:

Simplifying
xy2 = 0

Solving
xy2 = 0

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

Simplifying
xy2 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
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 3
Set the factor '(13 + -9x)' equal to zero and attempt to solve:

Simplifying
13 + -9x = 0

Solving
13 + -9x = 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 + -9x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -9x = 0 + -13
-9x = 0 + -13

Combine like terms: 0 + -13 = -13
-9x = -13

Divide each side by '-9'.
x = 1.444444444

Simplifying
x = 1.444444444
Solution
x = {-1.333333333, 1.444444444}

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