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

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


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

Reorder the terms:
4x2(-3 + 2x + 5x3) + -2x3(x2 + -4) = 0
(-3 * 4x2 + 2x * 4x2 + 5x3 * 4x2) + -2x3(x2 + -4) = 0
(-12x2 + 8x3 + 20x5) + -2x3(x2 + -4) = 0

Reorder the terms:
-12x2 + 8x3 + 20x5 + -2x3(-4 + x2) = 0
-12x2 + 8x3 + 20x5 + (-4 * -2x3 + x2 * -2x3) = 0
-12x2 + 8x3 + 20x5 + (8x3 + -2x5) = 0

Reorder the terms:
-12x2 + 8x3 + 8x3 + 20x5 + -2x5 = 0

Combine like terms: 8x3 + 8x3 = 16x3
-12x2 + 16x3 + 20x5 + -2x5 = 0

Combine like terms: 20x5 + -2x5 = 18x5
-12x2 + 16x3 + 18x5 = 0

Solving
-12x2 + 16x3 + 18x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x2'.
2x2(-6 + 8x + 9x3) = 0

Ignore the factor 2.

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 '(-6 + 8x + 9x3)' equal to zero and attempt to solve:

Simplifying
-6 + 8x + 9x3 = 0

Solving
-6 + 8x + 9x3 = 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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