(-3x^2)+144x+1155=0

Solution for (-3x^2)+144x+1155=0 equation:

Simplifying
(-3x2) + 144x + 1155 = 0

Reorder the terms:
1155 + 144x + (-3x2) = 0

Solving
1155 + 144x + (-3x2) = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(385 + 48x + (-1x2)) = 0

Factor a trinomial.
3((55 + -1x)(7 + x)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(55 + -1x)' equal to zero and attempt to solve:

Simplifying
55 + -1x = 0

Solving
55 + -1x = 0

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

Add '-55' to each side of the equation.
55 + -55 + -1x = 0 + -55

Combine like terms: 55 + -55 = 0
0 + -1x = 0 + -55
-1x = 0 + -55

Combine like terms: 0 + -55 = -55
-1x = -55

Divide each side by '-1'.
x = 55

Simplifying
x = 55
Subproblem 2
Set the factor '(7 + x)' equal to zero and attempt to solve:

Simplifying
7 + x = 0

Solving
7 + x = 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 + x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + x = 0 + -7
x = 0 + -7

Combine like terms: 0 + -7 = -7
x = -7

Simplifying
x = -7
Solution
x = {55, -7}