12x^5=4x^3-16x^2

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Solution for 12x^5=4x^3-16x^2 equation: 


Simplifying
12x5 = 4x3 + -16x2

Reorder the terms:
12x5 = -16x2 + 4x3

Solving
12x5 = -16x2 + 4x3

Solving for variable 'x'.

Reorder the terms:
16x2 + -4x3 + 12x5 = -16x2 + 4x3 + 16x2 + -4x3

Reorder the terms:
16x2 + -4x3 + 12x5 = -16x2 + 16x2 + 4x3 + -4x3

Combine like terms: -16x2 + 16x2 = 0
16x2 + -4x3 + 12x5 = 0 + 4x3 + -4x3
16x2 + -4x3 + 12x5 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
16x2 + -4x3 + 12x5 = 0

Factor out the Greatest Common Factor (GCF), '4x2'.
4x2(4 + -1x + 3x3) = 0

Ignore the factor 4.

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 '(4 + -1x + 3x3)' equal to zero and attempt to solve:

Simplifying
4 + -1x + 3x3 = 0

Solving
4 + -1x + 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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