x^2-10x+25=144

Solution for x^2-10x+25=144 equation:

Simplifying
x2 + -10x + 25 = 144

Reorder the terms:
25 + -10x + x2 = 144

Solving
25 + -10x + x2 = 144

Solving for variable 'x'.

Reorder the terms:
25 + -144 + -10x + x2 = 144 + -144

Combine like terms: 25 + -144 = -119
-119 + -10x + x2 = 144 + -144

Combine like terms: 144 + -144 = 0
-119 + -10x + x2 = 0

Factor a trinomial.
(-7 + -1x)(17 + -1x) = 0

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 '(17 + -1x)' equal to zero and attempt to solve:

Simplifying
17 + -1x = 0

Solving
17 + -1x = 0

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

Add '-17' to each side of the equation.
17 + -17 + -1x = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -1x = 0 + -17
-1x = 0 + -17

Combine like terms: 0 + -17 = -17
-1x = -17

Divide each side by '-1'.
x = 17

Simplifying
x = 17
Solution
x = {-7, 17}