-25x=10x^2+x^3

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Solution for -25x=10x^2+x^3 equation:


Simplifying
-25x = 10x2 + x3

Solving
-25x = 10x2 + x3

Solving for variable 'x'.

Reorder the terms:
-25x + -10x2 + -1x3 = 10x2 + -10x2 + x3 + -1x3

Combine like terms: 10x2 + -10x2 = 0
-25x + -10x2 + -1x3 = 0 + x3 + -1x3
-25x + -10x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-25x + -10x2 + -1x3 = 0

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(25 + 10x + x2) = 0

Factor a trinomial.
-1x((5 + x)(5 + x)) = 0

Ignore the factor -1.

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 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 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 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5

Subproblem 3

Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 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 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5

Solution

x = {0, -5, -5}

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