x^2+5x-14=-14

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Solution for x^2+5x-14=-14 equation:


Simplifying
x2 + 5x + -14 = -14

Reorder the terms:
-14 + 5x + x2 = -14

Add '14' to each side of the equation.
-14 + 5x + 14 + x2 = -14 + 14

Reorder the terms:
-14 + 14 + 5x + x2 = -14 + 14

Combine like terms: -14 + 14 = 0
0 + 5x + x2 = -14 + 14
5x + x2 = -14 + 14

Combine like terms: -14 + 14 = 0
5x + x2 = 0

Solving
5x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(5 + 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 '(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}

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