x^2-20x+72=-3

Solution for x^2-20x+72=-3 equation:

Simplifying
x2 + -20x + 72 = -3

Reorder the terms:
72 + -20x + x2 = -3

Solving
72 + -20x + x2 = -3

Solving for variable 'x'.

Reorder the terms:
72 + 3 + -20x + x2 = -3 + 3

Combine like terms: 72 + 3 = 75
75 + -20x + x2 = -3 + 3

Combine like terms: -3 + 3 = 0
75 + -20x + x2 = 0

Factor a trinomial.
(5 + -1x)(15 + -1x) = 0

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 '(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 = {5, 15}