3x^3-15x^2=252x

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Solution for 3x^3-15x^2=252x equation:


Simplifying
3x3 + -15x2 = 252x

Reorder the terms:
-15x2 + 3x3 = 252x

Solving
-15x2 + 3x3 = 252x

Solving for variable 'x'.

Reorder the terms:
-252x + -15x2 + 3x3 = 252x + -252x

Combine like terms: 252x + -252x = 0
-252x + -15x2 + 3x3 = 0

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-84 + -5x + x2) = 0

Factor a trinomial.
3x((-7 + -1x)(12 + -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 '(-7 + -1x)' equal to zero and attempt to solve: Simplifying -7 + -1x = 0 Solving -7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = 0 + 7 -1x = 0 + 7 Combine like terms: 0 + 7 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7

Subproblem 3

Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12

Solution

x = {0, -7, 12}

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