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

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


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

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

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

Multiply (7x + 3x2) * (-4 + -7x + 15x2)
(7x * (-4 + -7x + 15x2) + 3x2 * (-4 + -7x + 15x2)) = 0
((-4 * 7x + -7x * 7x + 15x2 * 7x) + 3x2 * (-4 + -7x + 15x2)) = 0
((-28x + -49x2 + 105x3) + 3x2 * (-4 + -7x + 15x2)) = 0
(-28x + -49x2 + 105x3 + (-4 * 3x2 + -7x * 3x2 + 15x2 * 3x2)) = 0
(-28x + -49x2 + 105x3 + (-12x2 + -21x3 + 45x4)) = 0

Reorder the terms:
(-28x + -49x2 + -12x2 + 105x3 + -21x3 + 45x4) = 0

Combine like terms: -49x2 + -12x2 = -61x2
(-28x + -61x2 + 105x3 + -21x3 + 45x4) = 0

Combine like terms: 105x3 + -21x3 = 84x3
(-28x + -61x2 + 84x3 + 45x4) = 0

Solving
-28x + -61x2 + 84x3 + 45x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-28 + -61x + 84x2 + 45x3) = 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 '(-28 + -61x + 84x2 + 45x3)' equal to zero and attempt to solve:

Simplifying
-28 + -61x + 84x2 + 45x3 = 0

Solving
-28 + -61x + 84x2 + 45x3 = 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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