x^2-15x+(56.25)=.25

Solution for x^2-15x+(56.25)=.25 equation:

Simplifying
x2 + -15x + (56.25) = 0.25
x2 + -15x + 56.25 = 0.25

Reorder the terms:
56.25 + -15x + x2 = 0.25

Solving
56.25 + -15x + x2 = 0.25

Solving for variable 'x'.

Reorder the terms:
56.25 + -0.25 + -15x + x2 = 0.25 + -0.25

Combine like terms: 56.25 + -0.25 = 56
56 + -15x + x2 = 0.25 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
56 + -15x + x2 = 0.00

Factor a trinomial.
(7 + -1x)(8 + -1x) = 0.00

Subproblem 1
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Subproblem 2
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
Solution
x = {7, 8}