(15x^3+22x^2-5x)(x^2-7)=0

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Solution for (15x^3+22x^2-5x)(x^2-7)=0 equation: 


Simplifying
(15x3 + 22x2 + -5x)(x2 + -7) = 0

Reorder the terms:
(-5x + 22x2 + 15x3)(x2 + -7) = 0

Reorder the terms:
(-5x + 22x2 + 15x3)(-7 + x2) = 0

Multiply (-5x + 22x2 + 15x3) * (-7 + x2)
(-5x * (-7 + x2) + 22x2 * (-7 + x2) + 15x3 * (-7 + x2)) = 0
((-7 * -5x + x2 * -5x) + 22x2 * (-7 + x2) + 15x3 * (-7 + x2)) = 0
((35x + -5x3) + 22x2 * (-7 + x2) + 15x3 * (-7 + x2)) = 0
(35x + -5x3 + (-7 * 22x2 + x2 * 22x2) + 15x3 * (-7 + x2)) = 0
(35x + -5x3 + (-154x2 + 22x4) + 15x3 * (-7 + x2)) = 0
(35x + -5x3 + -154x2 + 22x4 + (-7 * 15x3 + x2 * 15x3)) = 0
(35x + -5x3 + -154x2 + 22x4 + (-105x3 + 15x5)) = 0

Reorder the terms:
(35x + -154x2 + -5x3 + -105x3 + 22x4 + 15x5) = 0

Combine like terms: -5x3 + -105x3 = -110x3
(35x + -154x2 + -110x3 + 22x4 + 15x5) = 0

Solving
35x + -154x2 + -110x3 + 22x4 + 15x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(35 + -154x + -110x2 + 22x3 + 15x4) = 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 + -154x + -110x2 + 22x3 + 15x4)' equal to zero and attempt to solve:

Simplifying
35 + -154x + -110x2 + 22x3 + 15x4 = 0

Solving
35 + -154x + -110x2 + 22x3 + 15x4 = 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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