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

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


Simplifying
(2x3 + -5x)(3x3 + 6x + -7) = 0

Reorder the terms:
(-5x + 2x3)(3x3 + 6x + -7) = 0

Reorder the terms:
(-5x + 2x3)(-7 + 6x + 3x3) = 0

Multiply (-5x + 2x3) * (-7 + 6x + 3x3)
(-5x * (-7 + 6x + 3x3) + 2x3 * (-7 + 6x + 3x3)) = 0
((-7 * -5x + 6x * -5x + 3x3 * -5x) + 2x3 * (-7 + 6x + 3x3)) = 0
((35x + -30x2 + -15x4) + 2x3 * (-7 + 6x + 3x3)) = 0
(35x + -30x2 + -15x4 + (-7 * 2x3 + 6x * 2x3 + 3x3 * 2x3)) = 0
(35x + -30x2 + -15x4 + (-14x3 + 12x4 + 6x6)) = 0

Reorder the terms:
(35x + -30x2 + -14x3 + -15x4 + 12x4 + 6x6) = 0

Combine like terms: -15x4 + 12x4 = -3x4
(35x + -30x2 + -14x3 + -3x4 + 6x6) = 0

Solving
35x + -30x2 + -14x3 + -3x4 + 6x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(35 + -30x + -14x2 + -3x3 + 6x5) = 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 '(35 + -30x + -14x2 + -3x3 + 6x5)' equal to zero and attempt to solve:

Simplifying
35 + -30x + -14x2 + -3x3 + 6x5 = 0

Solving
35 + -30x + -14x2 + -3x3 + 6x5 = 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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