x^3+13x^2=30x

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Solution for x^3+13x^2=30x equation:


Simplifying
x3 + 13x2 = 30x

Reorder the terms:
13x2 + x3 = 30x

Solving
13x2 + x3 = 30x

Solving for variable 'x'.

Reorder the terms:
-30x + 13x2 + x3 = 30x + -30x

Combine like terms: 30x + -30x = 0
-30x + 13x2 + x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-30 + 13x + x2) = 0

Factor a trinomial.
x((-15 + -1x)(2 + -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 '(-15 + -1x)' equal to zero and attempt to solve: Simplifying -15 + -1x = 0 Solving -15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -1x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -1x = 0 + 15 -1x = 0 + 15 Combine like terms: 0 + 15 = 15 -1x = 15 Divide each side by '-1'. x = -15 Simplifying x = -15

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, -15, 2}

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