0=-x^2+18x+144

Solution for 0=-x^2+18x+144 equation:

Simplifying
0 = -1x2 + 18x + 144

Reorder the terms:
0 = 144 + 18x + -1x2

Solving
0 = 144 + 18x + -1x2

Solving for variable 'x'.

Combine like terms: 0 + -144 = -144
-144 + -18x + x2 = 144 + 18x + -1x2 + -144 + -18x + x2

Reorder the terms:
-144 + -18x + x2 = 144 + -144 + 18x + -18x + -1x2 + x2

Combine like terms: 144 + -144 = 0
-144 + -18x + x2 = 0 + 18x + -18x + -1x2 + x2
-144 + -18x + x2 = 18x + -18x + -1x2 + x2

Combine like terms: 18x + -18x = 0
-144 + -18x + x2 = 0 + -1x2 + x2
-144 + -18x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-144 + -18x + x2 = 0

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

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

Simplifying
24 + -1x = 0

Solving
24 + -1x = 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 + -1x = 0 + -24

Combine like terms: 24 + -24 = 0
0 + -1x = 0 + -24
-1x = 0 + -24

Combine like terms: 0 + -24 = -24
-1x = -24

Divide each side by '-1'.
x = 24

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