x^2+15x+25=25

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Solution for x^2+15x+25=25 equation: 


Simplifying
x2 + 15x + 25 = 25

Reorder the terms:
25 + 15x + x2 = 25

Add '-25' to each side of the equation.
25 + 15x + -25 + x2 = 25 + -25

Reorder the terms:
25 + -25 + 15x + x2 = 25 + -25

Combine like terms: 25 + -25 = 0
0 + 15x + x2 = 25 + -25
15x + x2 = 25 + -25

Combine like terms: 25 + -25 = 0
15x + x2 = 0

Solving
15x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(15 + 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 '(15 + x)' equal to zero and attempt to solve:

Simplifying
15 + x = 0

Solving
15 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-15' to each side of the equation.
15 + -15 + x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + x = 0 + -15
x = 0 + -15

Combine like terms: 0 + -15 = -15
x = -15

Simplifying
x = -15
Solution
x = {0, -15}

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