3x^2(3x^3+5x-4)-5x^3(x^2-6)=

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Solution for 3x^2(3x^3+5x-4)-5x^3(x^2-6)= equation: 


Simplifying
3x2(3x3 + 5x + -4) + -5x3(x2 + -6) = 0

Reorder the terms:
3x2(-4 + 5x + 3x3) + -5x3(x2 + -6) = 0
(-4 * 3x2 + 5x * 3x2 + 3x3 * 3x2) + -5x3(x2 + -6) = 0
(-12x2 + 15x3 + 9x5) + -5x3(x2 + -6) = 0

Reorder the terms:
-12x2 + 15x3 + 9x5 + -5x3(-6 + x2) = 0
-12x2 + 15x3 + 9x5 + (-6 * -5x3 + x2 * -5x3) = 0
-12x2 + 15x3 + 9x5 + (30x3 + -5x5) = 0

Reorder the terms:
-12x2 + 15x3 + 30x3 + 9x5 + -5x5 = 0

Combine like terms: 15x3 + 30x3 = 45x3
-12x2 + 45x3 + 9x5 + -5x5 = 0

Combine like terms: 9x5 + -5x5 = 4x5
-12x2 + 45x3 + 4x5 = 0

Solving
-12x2 + 45x3 + 4x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-12 + 45x + 4x3) = 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 '(-12 + 45x + 4x3)' equal to zero and attempt to solve:

Simplifying
-12 + 45x + 4x3 = 0

Solving
-12 + 45x + 4x3 = 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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