0=12x^5-5x^3

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


Simplifying
0 = 12x5 + -5x3

Reorder the terms:
0 = -5x3 + 12x5

Solving
0 = -5x3 + 12x5

Solving for variable 'x'.
Remove the zero:
5x3 + -12x5 = -5x3 + 12x5 + 5x3 + -12x5

Reorder the terms:
5x3 + -12x5 = -5x3 + 5x3 + 12x5 + -12x5

Combine like terms: -5x3 + 5x3 = 0
5x3 + -12x5 = 0 + 12x5 + -12x5
5x3 + -12x5 = 12x5 + -12x5

Combine like terms: 12x5 + -12x5 = 0
5x3 + -12x5 = 0

Factor out the Greatest Common Factor (GCF), 'x3'.
x3(5 + -12x2) = 0

Subproblem 1

Set the factor 'x3' equal to zero and attempt to solve: Simplifying x3 = 0 Solving x3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(5 + -12x2)' equal to zero and attempt to solve: Simplifying 5 + -12x2 = 0 Solving 5 + -12x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -12x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -12x2 = 0 + -5 -12x2 = 0 + -5 Combine like terms: 0 + -5 = -5 -12x2 = -5 Divide each side by '-12'. x2 = 0.4166666667 Simplifying x2 = 0.4166666667 Take the square root of each side: x = {-0.645497224, 0.645497224}

Solution

x = {-0.645497224, 0.645497224}

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