-12x^2+840x-7200=0

Solution for -12x^2+840x-7200=0 equation:

Simplifying
-12x2 + 840x + -7200 = 0

Reorder the terms:
-7200 + 840x + -12x2 = 0

Solving
-7200 + 840x + -12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '12'.
12(-600 + 70x + -1x2) = 0

Factor a trinomial.
12((-60 + x)(10 + -1x)) = 0

Ignore the factor 12.
Subproblem 1
Set the factor '(-60 + x)' equal to zero and attempt to solve:

Simplifying
-60 + x = 0

Solving
-60 + x = 0

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

Add '60' to each side of the equation.
-60 + 60 + x = 0 + 60

Combine like terms: -60 + 60 = 0
0 + x = 0 + 60
x = 0 + 60

Combine like terms: 0 + 60 = 60
x = 60

Simplifying
x = 60
Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Solution
x = {60, 10}