x^2=-45x+144

Solution for x^2=-45x+144 equation:

Simplifying
x2 = -45x + 144

Reorder the terms:
x2 = 144 + -45x

Solving
x2 = 144 + -45x

Solving for variable 'x'.

Reorder the terms:
-144 + 45x + x2 = 144 + -45x + -144 + 45x

Reorder the terms:
-144 + 45x + x2 = 144 + -144 + -45x + 45x

Combine like terms: 144 + -144 = 0
-144 + 45x + x2 = 0 + -45x + 45x
-144 + 45x + x2 = -45x + 45x

Combine like terms: -45x + 45x = 0
-144 + 45x + x2 = 0

Factor a trinomial.
(-48 + -1x)(3 + -1x) = 0

Subproblem 1
Set the factor '(-48 + -1x)' equal to zero and attempt to solve:

Simplifying
-48 + -1x = 0

Solving
-48 + -1x = 0

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

Add '48' to each side of the equation.
-48 + 48 + -1x = 0 + 48

Combine like terms: -48 + 48 = 0
0 + -1x = 0 + 48
-1x = 0 + 48

Combine like terms: 0 + 48 = 48
-1x = 48

Divide each side by '-1'.
x = -48

Simplifying
x = -48
Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-48, 3}