-4x^2+1320x-19800=74700

Solution for -4x^2+1320x-19800=74700 equation:

Simplifying
-4x2 + 1320x + -19800 = 74700

Reorder the terms:
-19800 + 1320x + -4x2 = 74700

Solving
-19800 + 1320x + -4x2 = 74700

Solving for variable 'x'.

Reorder the terms:
-19800 + -74700 + 1320x + -4x2 = 74700 + -74700

Combine like terms: -19800 + -74700 = -94500
-94500 + 1320x + -4x2 = 74700 + -74700

Combine like terms: 74700 + -74700 = 0
-94500 + 1320x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-23625 + 330x + -1x2) = 0

Factor a trinomial.
4((-225 + x)(105 + -1x)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-225 + x)' equal to zero and attempt to solve:

Simplifying
-225 + x = 0

Solving
-225 + x = 0

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

Add '225' to each side of the equation.
-225 + 225 + x = 0 + 225

Combine like terms: -225 + 225 = 0
0 + x = 0 + 225
x = 0 + 225

Combine like terms: 0 + 225 = 225
x = 225

Simplifying
x = 225
Subproblem 2
Set the factor '(105 + -1x)' equal to zero and attempt to solve:

Simplifying
105 + -1x = 0

Solving
105 + -1x = 0

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

Add '-105' to each side of the equation.
105 + -105 + -1x = 0 + -105

Combine like terms: 105 + -105 = 0
0 + -1x = 0 + -105
-1x = 0 + -105

Combine like terms: 0 + -105 = -105
-1x = -105

Divide each side by '-1'.
x = 105

Simplifying
x = 105
Solution
x = {225, 105}