(2x^2+3x)(6x^2-4x-5)=

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Solution for (2x^2+3x)(6x^2-4x-5)= equation: 


Simplifying
(2x2 + 3x)(6x2 + -4x + -5) = 0

Reorder the terms:
(3x + 2x2)(6x2 + -4x + -5) = 0

Reorder the terms:
(3x + 2x2)(-5 + -4x + 6x2) = 0

Multiply (3x + 2x2) * (-5 + -4x + 6x2)
(3x * (-5 + -4x + 6x2) + 2x2 * (-5 + -4x + 6x2)) = 0
((-5 * 3x + -4x * 3x + 6x2 * 3x) + 2x2 * (-5 + -4x + 6x2)) = 0
((-15x + -12x2 + 18x3) + 2x2 * (-5 + -4x + 6x2)) = 0
(-15x + -12x2 + 18x3 + (-5 * 2x2 + -4x * 2x2 + 6x2 * 2x2)) = 0
(-15x + -12x2 + 18x3 + (-10x2 + -8x3 + 12x4)) = 0

Reorder the terms:
(-15x + -12x2 + -10x2 + 18x3 + -8x3 + 12x4) = 0

Combine like terms: -12x2 + -10x2 = -22x2
(-15x + -22x2 + 18x3 + -8x3 + 12x4) = 0

Combine like terms: 18x3 + -8x3 = 10x3
(-15x + -22x2 + 10x3 + 12x4) = 0

Solving
-15x + -22x2 + 10x3 + 12x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-15 + -22x + 10x2 + 12x3) = 0


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 '(-15 + -22x + 10x2 + 12x3)' equal to zero and attempt to solve:

Simplifying
-15 + -22x + 10x2 + 12x3 = 0

Solving
-15 + -22x + 10x2 + 12x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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