5=x^2+12x+25

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Solution for 5=x^2+12x+25 equation: 


Simplifying
5 = x2 + 12x + 25

Reorder the terms:
5 = 25 + 12x + x2

Solving
5 = 25 + 12x + x2

Solving for variable 'x'.

Combine like terms: 5 + -25 = -20
-20 + -12x + -1x2 = 25 + 12x + x2 + -25 + -12x + -1x2

Reorder the terms:
-20 + -12x + -1x2 = 25 + -25 + 12x + -12x + x2 + -1x2

Combine like terms: 25 + -25 = 0
-20 + -12x + -1x2 = 0 + 12x + -12x + x2 + -1x2
-20 + -12x + -1x2 = 12x + -12x + x2 + -1x2

Combine like terms: 12x + -12x = 0
-20 + -12x + -1x2 = 0 + x2 + -1x2
-20 + -12x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-20 + -12x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(20 + 12x + x2) = 0

Factor a trinomial.
-1((10 + x)(2 + x)) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(10 + x)' equal to zero and attempt to solve:

Simplifying
10 + x = 0

Solving
10 + x = 0

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

Add '-10' to each side of the equation.
10 + -10 + x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + x = 0 + -10
x = 0 + -10

Combine like terms: 0 + -10 = -10
x = -10

Simplifying
x = -10

Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 0

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

Add '-2' to each side of the equation.
2 + -2 + x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + x = 0 + -2
x = 0 + -2

Combine like terms: 0 + -2 = -2
x = -2

Simplifying
x = -2
Solution
x = {-10, -2}

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