5x^2-x=-11x

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Solution for 5x^2-x=-11x equation:


Simplifying
5x2 + -1x = -11x

Reorder the terms:
-1x + 5x2 = -11x

Solving
-1x + 5x2 = -11x

Solving for variable 'x'.

Reorder the terms:
-1x + 11x + 5x2 = -11x + 11x

Combine like terms: -1x + 11x = 10x
10x + 5x2 = -11x + 11x

Combine like terms: -11x + 11x = 0
10x + 5x2 = 0

Factor out the Greatest Common Factor (GCF), '5x'.
5x(2 + x) = 0

Ignore the factor 5.

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 '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2

Solution

x = {0, -2}

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