-3x^2+150x-288=0

Solution for -3x^2+150x-288=0 equation:

Simplifying
-3x2 + 150x + -288 = 0

Reorder the terms:
-288 + 150x + -3x2 = 0

Solving
-288 + 150x + -3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-96 + 50x + -1x2) = 0

Factor a trinomial.
3((-48 + x)(2 + -1x)) = 0

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

Simplifying
-48 + x = 0

Solving
-48 + x = 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 + x = 0 + 48

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

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

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {48, 2}