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

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


Simplifying
2x2(x + 6) + 3x(x + -5) = 3x4

Reorder the terms:
2x2(6 + x) + 3x(x + -5) = 3x4
(6 * 2x2 + x * 2x2) + 3x(x + -5) = 3x4
(12x2 + 2x3) + 3x(x + -5) = 3x4

Reorder the terms:
12x2 + 2x3 + 3x(-5 + x) = 3x4
12x2 + 2x3 + (-5 * 3x + x * 3x) = 3x4
12x2 + 2x3 + (-15x + 3x2) = 3x4

Reorder the terms:
-15x + 12x2 + 3x2 + 2x3 = 3x4

Combine like terms: 12x2 + 3x2 = 15x2
-15x + 15x2 + 2x3 = 3x4

Solving
-15x + 15x2 + 2x3 = 3x4

Solving for variable 'x'.

Combine like terms: 3x4 + -3x4 = 0
-15x + 15x2 + 2x3 + -3x4 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-15 + 15x + 2x2 + -3x3) = 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 '(-15 + 15x + 2x2 + -3x3)' equal to zero and attempt to solve:

Simplifying
-15 + 15x + 2x2 + -3x3 = 0

Solving
-15 + 15x + 2x2 + -3x3 = 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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