(10x^3+23x^2-5x)(x^2-7)=0

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Solution for (10x^3+23x^2-5x)(x^2-7)=0 equation: 


Simplifying
(10x3 + 23x2 + -5x)(x2 + -7) = 0

Reorder the terms:
(-5x + 23x2 + 10x3)(x2 + -7) = 0

Reorder the terms:
(-5x + 23x2 + 10x3)(-7 + x2) = 0

Multiply (-5x + 23x2 + 10x3) * (-7 + x2)
(-5x * (-7 + x2) + 23x2 * (-7 + x2) + 10x3 * (-7 + x2)) = 0
((-7 * -5x + x2 * -5x) + 23x2 * (-7 + x2) + 10x3 * (-7 + x2)) = 0
((35x + -5x3) + 23x2 * (-7 + x2) + 10x3 * (-7 + x2)) = 0
(35x + -5x3 + (-7 * 23x2 + x2 * 23x2) + 10x3 * (-7 + x2)) = 0
(35x + -5x3 + (-161x2 + 23x4) + 10x3 * (-7 + x2)) = 0
(35x + -5x3 + -161x2 + 23x4 + (-7 * 10x3 + x2 * 10x3)) = 0
(35x + -5x3 + -161x2 + 23x4 + (-70x3 + 10x5)) = 0

Reorder the terms:
(35x + -161x2 + -5x3 + -70x3 + 23x4 + 10x5) = 0

Combine like terms: -5x3 + -70x3 = -75x3
(35x + -161x2 + -75x3 + 23x4 + 10x5) = 0

Solving
35x + -161x2 + -75x3 + 23x4 + 10x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(35 + -161x + -75x2 + 23x3 + 10x4) = 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 + -161x + -75x2 + 23x3 + 10x4)' equal to zero and attempt to solve:

Simplifying
35 + -161x + -75x2 + 23x3 + 10x4 = 0

Solving
35 + -161x + -75x2 + 23x3 + 10x4 = 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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