x^2+20x+25=150

Solution for x^2+20x+25=150 equation:

Simplifying
x2 + 20x + 25 = 150

Reorder the terms:
25 + 20x + x2 = 150

Solving
25 + 20x + x2 = 150

Solving for variable 'x'.

Reorder the terms:
25 + -150 + 20x + x2 = 150 + -150

Combine like terms: 25 + -150 = -125
-125 + 20x + x2 = 150 + -150

Combine like terms: 150 + -150 = 0
-125 + 20x + x2 = 0

Factor a trinomial.
(-25 + -1x)(5 + -1x) = 0

Subproblem 1
Set the factor '(-25 + -1x)' equal to zero and attempt to solve:

Simplifying
-25 + -1x = 0

Solving
-25 + -1x = 0

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

Add '25' to each side of the equation.
-25 + 25 + -1x = 0 + 25

Combine like terms: -25 + 25 = 0
0 + -1x = 0 + 25
-1x = 0 + 25

Combine like terms: 0 + 25 = 25
-1x = 25

Divide each side by '-1'.
x = -25

Simplifying
x = -25
Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 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 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {-25, 5}