(6x^3+7x^2-3x)(x^2-5)=0

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Solution for (6x^3+7x^2-3x)(x^2-5)=0 equation: 


Simplifying
(6x3 + 7x2 + -3x)(x2 + -5) = 0

Reorder the terms:
(-3x + 7x2 + 6x3)(x2 + -5) = 0

Reorder the terms:
(-3x + 7x2 + 6x3)(-5 + x2) = 0

Multiply (-3x + 7x2 + 6x3) * (-5 + x2)
(-3x * (-5 + x2) + 7x2 * (-5 + x2) + 6x3 * (-5 + x2)) = 0
((-5 * -3x + x2 * -3x) + 7x2 * (-5 + x2) + 6x3 * (-5 + x2)) = 0
((15x + -3x3) + 7x2 * (-5 + x2) + 6x3 * (-5 + x2)) = 0
(15x + -3x3 + (-5 * 7x2 + x2 * 7x2) + 6x3 * (-5 + x2)) = 0
(15x + -3x3 + (-35x2 + 7x4) + 6x3 * (-5 + x2)) = 0
(15x + -3x3 + -35x2 + 7x4 + (-5 * 6x3 + x2 * 6x3)) = 0
(15x + -3x3 + -35x2 + 7x4 + (-30x3 + 6x5)) = 0

Reorder the terms:
(15x + -35x2 + -3x3 + -30x3 + 7x4 + 6x5) = 0

Combine like terms: -3x3 + -30x3 = -33x3
(15x + -35x2 + -33x3 + 7x4 + 6x5) = 0

Solving
15x + -35x2 + -33x3 + 7x4 + 6x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(15 + -35x + -33x2 + 7x3 + 6x4) = 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 + -35x + -33x2 + 7x3 + 6x4)' equal to zero and attempt to solve:

Simplifying
15 + -35x + -33x2 + 7x3 + 6x4 = 0

Solving
15 + -35x + -33x2 + 7x3 + 6x4 = 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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