x^3+36x=12x^2

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Solution for x^3+36x=12x^2 equation:


Simplifying
x3 + 36x = 12x2

Reorder the terms:
36x + x3 = 12x2

Solving
36x + x3 = 12x2

Solving for variable 'x'.

Reorder the terms:
36x + -12x2 + x3 = 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
36x + -12x2 + x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(36 + -12x + x2) = 0

Factor a trinomial.
x((6 + -1x)(6 + -1x)) = 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 '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6

Subproblem 3

Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6

Solution

x = {0, 6, 6}

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