0=-11x-x^2

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Solution for 0=-11x-x^2 equation:


Simplifying
0 = -11x + -1x2

Solving
0 = -11x + -1x2

Solving for variable 'x'.
Remove the zero:
11x + x2 = -11x + -1x2 + 11x + x2

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

Combine like terms: -11x + 11x = 0
11x + x2 = 0 + -1x2 + x2
11x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
11x + x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(11 + x) = 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 '(11 + x)' equal to zero and attempt to solve: Simplifying 11 + x = 0 Solving 11 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + x = 0 + -11 x = 0 + -11 Combine like terms: 0 + -11 = -11 x = -11 Simplifying x = -11

Solution

x = {0, -11}

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