x^2-7x+12.25=132.25

Solution for x^2-7x+12.25=132.25 equation:

Simplifying
x2 + -7x + 12.25 = 132.25

Reorder the terms:
12.25 + -7x + x2 = 132.25

Solving
12.25 + -7x + x2 = 132.25

Solving for variable 'x'.

Reorder the terms:
12.25 + -132.25 + -7x + x2 = 132.25 + -132.25

Combine like terms: 12.25 + -132.25 = -120
-120 + -7x + x2 = 132.25 + -132.25

Combine like terms: 132.25 + -132.25 = 0.00
-120 + -7x + x2 = 0.00

Factor a trinomial.
(-8 + -1x)(15 + -1x) = 0.00

Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve:

Simplifying
-8 + -1x = 0

Solving
-8 + -1x = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 0 + 8
-1x = 0 + 8

Combine like terms: 0 + 8 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8
Subproblem 2
Set the factor '(15 + -1x)' equal to zero and attempt to solve:

Simplifying
15 + -1x = 0

Solving
15 + -1x = 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 + -1x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = 0 + -15
-1x = 0 + -15

Combine like terms: 0 + -15 = -15
-1x = -15

Divide each side by '-1'.
x = 15

Simplifying
x = 15
Solution
x = {-8, 15}