5x^2(2x^3+4x-3)-2x^3(x^2-5)=

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Solution for 5x^2(2x^3+4x-3)-2x^3(x^2-5)= equation: 


Simplifying
5x2(2x3 + 4x + -3) + -2x3(x2 + -5) = 0

Reorder the terms:
5x2(-3 + 4x + 2x3) + -2x3(x2 + -5) = 0
(-3 * 5x2 + 4x * 5x2 + 2x3 * 5x2) + -2x3(x2 + -5) = 0
(-15x2 + 20x3 + 10x5) + -2x3(x2 + -5) = 0

Reorder the terms:
-15x2 + 20x3 + 10x5 + -2x3(-5 + x2) = 0
-15x2 + 20x3 + 10x5 + (-5 * -2x3 + x2 * -2x3) = 0
-15x2 + 20x3 + 10x5 + (10x3 + -2x5) = 0

Reorder the terms:
-15x2 + 20x3 + 10x3 + 10x5 + -2x5 = 0

Combine like terms: 20x3 + 10x3 = 30x3
-15x2 + 30x3 + 10x5 + -2x5 = 0

Combine like terms: 10x5 + -2x5 = 8x5
-15x2 + 30x3 + 8x5 = 0

Solving
-15x2 + 30x3 + 8x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-15 + 30x + 8x3) = 0


Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(-15 + 30x + 8x3)' equal to zero and attempt to solve:

Simplifying
-15 + 30x + 8x3 = 0

Solving
-15 + 30x + 8x3 = 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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