-3x^3+87x^2-162x=0

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Solution for -3x^3+87x^2-162x=0 equation:


Simplifying
-3x3 + 87x2 + -162x = 0

Reorder the terms:
-162x + 87x2 + -3x3 = 0

Solving
-162x + 87x2 + -3x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-54 + 29x + -1x2) = 0

Factor a trinomial.
3x((-27 + x)(2 + -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 '(-27 + x)' equal to zero and attempt to solve: Simplifying -27 + x = 0 Solving -27 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + x = 0 + 27 Combine like terms: -27 + 27 = 0 0 + x = 0 + 27 x = 0 + 27 Combine like terms: 0 + 27 = 27 x = 27 Simplifying x = 27

Subproblem 3

Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2

Solution

x = {0, 27, 2}

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