3x^5-12x^2=0

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Solution for 3x^5-12x^2=0 equation:


Simplifying
3x5 + -12x2 = 0

Reorder the terms:
-12x2 + 3x5 = 0

Solving
-12x2 + 3x5 = 0

Solving for variable 'x'.

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

Ignore the factor 3.

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 + x3)' equal to zero and attempt to solve: Simplifying -4 + x3 = 0 Solving -4 + x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x3 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + x3 = 0 + 4 x3 = 0 + 4 Combine like terms: 0 + 4 = 4 x3 = 4 Simplifying x3 = 4 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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