3x^2+x=-11x

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Solution for 3x^2+x=-11x equation:


Simplifying
3x2 + x = -11x

Reorder the terms:
x + 3x2 = -11x

Solving
x + 3x2 = -11x

Solving for variable 'x'.

Reorder the terms:
x + 11x + 3x2 = -11x + 11x

Combine like terms: x + 11x = 12x
12x + 3x2 = -11x + 11x

Combine like terms: -11x + 11x = 0
12x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3x'.
3x(4 + x) = 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 '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4

Solution

x = {0, -4}

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