6x^3-39x^2=72x

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Solution for 6x^3-39x^2=72x equation:


Simplifying
6x3 + -39x2 = 72x

Reorder the terms:
-39x2 + 6x3 = 72x

Solving
-39x2 + 6x3 = 72x

Solving for variable 'x'.

Reorder the terms:
-72x + -39x2 + 6x3 = 72x + -72x

Combine like terms: 72x + -72x = 0
-72x + -39x2 + 6x3 = 0

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-24 + -13x + 2x2) = 0

Factor a trinomial.
3x((-3 + -2x)(8 + -1x)) = 0

Ignore the factor 3.

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 '(-3 + -2x)' equal to zero and attempt to solve: Simplifying -3 + -2x = 0 Solving -3 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -2x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = 0 + 3 -2x = 0 + 3 Combine like terms: 0 + 3 = 3 -2x = 3 Divide each side by '-2'. x = -1.5 Simplifying x = -1.5

Subproblem 3

Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8

Solution

x = {0, -1.5, 8}

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