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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