x^2-7x+12.25=72.25

Solution for x^2-7x+12.25=72.25 equation:

Simplifying
x2 + -7x + 12.25 = 72.25

Reorder the terms:
12.25 + -7x + x2 = 72.25

Solving
12.25 + -7x + x2 = 72.25

Solving for variable 'x'.

Reorder the terms:
12.25 + -72.25 + -7x + x2 = 72.25 + -72.25

Combine like terms: 12.25 + -72.25 = -60
-60 + -7x + x2 = 72.25 + -72.25

Combine like terms: 72.25 + -72.25 = 0.00
-60 + -7x + x2 = 0.00

Factor a trinomial.
(-5 + -1x)(12 + -1x) = 0.00

Subproblem 1
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
Subproblem 2
Set the factor '(12 + -1x)' equal to zero and attempt to solve:

Simplifying
12 + -1x = 0

Solving
12 + -1x = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1x = 0 + -12

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

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

Divide each side by '-1'.
x = 12

Simplifying
x = 12
Solution
x = {-5, 12}