(2x^2+3x)(15x^2-7x-4)=0

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Solution for (2x^2+3x)(15x^2-7x-4)=0 equation: 


Simplifying
(2x2 + 3x)(15x2 + -7x + -4) = 0

Reorder the terms:
(3x + 2x2)(15x2 + -7x + -4) = 0

Reorder the terms:
(3x + 2x2)(-4 + -7x + 15x2) = 0

Multiply (3x + 2x2) * (-4 + -7x + 15x2)
(3x * (-4 + -7x + 15x2) + 2x2 * (-4 + -7x + 15x2)) = 0
((-4 * 3x + -7x * 3x + 15x2 * 3x) + 2x2 * (-4 + -7x + 15x2)) = 0
((-12x + -21x2 + 45x3) + 2x2 * (-4 + -7x + 15x2)) = 0
(-12x + -21x2 + 45x3 + (-4 * 2x2 + -7x * 2x2 + 15x2 * 2x2)) = 0
(-12x + -21x2 + 45x3 + (-8x2 + -14x3 + 30x4)) = 0

Reorder the terms:
(-12x + -21x2 + -8x2 + 45x3 + -14x3 + 30x4) = 0

Combine like terms: -21x2 + -8x2 = -29x2
(-12x + -29x2 + 45x3 + -14x3 + 30x4) = 0

Combine like terms: 45x3 + -14x3 = 31x3
(-12x + -29x2 + 31x3 + 30x4) = 0

Solving
-12x + -29x2 + 31x3 + 30x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-12 + -29x + 31x2 + 30x3) = 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 '(-12 + -29x + 31x2 + 30x3)' equal to zero and attempt to solve:

Simplifying
-12 + -29x + 31x2 + 30x3 = 0

Solving
-12 + -29x + 31x2 + 30x3 = 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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