-75x+72=-3x^2

Solution for -75x+72=-3x^2 equation:

Simplifying
-75x + 72 = -3x2

Reorder the terms:
72 + -75x = -3x2

Solving
72 + -75x = -3x2

Solving for variable 'x'.

Combine like terms: -3x2 + 3x2 = 0
72 + -75x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(24 + -25x + x2) = 0

Factor a trinomial.
3((1 + -1x)(24 + -1x)) = 0

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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1
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 = {1, 24}