0=x^2-30x+144

Solution for 0=x^2-30x+144 equation:

Simplifying
0 = x2 + -30x + 144

Reorder the terms:
0 = 144 + -30x + x2

Solving
0 = 144 + -30x + x2

Solving for variable 'x'.

Combine like terms: 0 + -144 = -144
-144 + 30x + -1x2 = 144 + -30x + x2 + -144 + 30x + -1x2

Reorder the terms:
-144 + 30x + -1x2 = 144 + -144 + -30x + 30x + x2 + -1x2

Combine like terms: 144 + -144 = 0
-144 + 30x + -1x2 = 0 + -30x + 30x + x2 + -1x2
-144 + 30x + -1x2 = -30x + 30x + x2 + -1x2

Combine like terms: -30x + 30x = 0
-144 + 30x + -1x2 = 0 + x2 + -1x2
-144 + 30x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-144 + 30x + -1x2 = 0

Factor a trinomial.
(-24 + x)(6 + -1x) = 0

Subproblem 1
Set the factor '(-24 + x)' equal to zero and attempt to solve:

Simplifying
-24 + x = 0

Solving
-24 + x = 0

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

Add '24' to each side of the equation.
-24 + 24 + x = 0 + 24

Combine like terms: -24 + 24 = 0
0 + x = 0 + 24
x = 0 + 24

Combine like terms: 0 + 24 = 24
x = 24

Simplifying
x = 24
Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {24, 6}