x^3-3x^2=40x

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Solution for x^3-3x^2=40x equation:


Simplifying
x3 + -3x2 = 40x

Reorder the terms:
-3x2 + x3 = 40x

Solving
-3x2 + x3 = 40x

Solving for variable 'x'.

Reorder the terms:
-40x + -3x2 + x3 = 40x + -40x

Combine like terms: 40x + -40x = 0
-40x + -3x2 + x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-40 + -3x + x2) = 0

Factor a trinomial.
x((-5 + -1x)(8 + -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 '(-5 + -1x)' equal to zero and attempt to solve: Simplifying -5 + -1x = 0 Solving -5 + -1x = 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 + -1x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = 0 + 5 -1x = 0 + 5 Combine like terms: 0 + 5 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -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, -5, 8}

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