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

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

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

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

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

Solving for variable 'x'.

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

Reorder the terms:
94500 + -1320x + 4x2 = -19800 + 19800 + 1320x + -1320x + -4x2 + 4x2

Combine like terms: -19800 + 19800 = 0
94500 + -1320x + 4x2 = 0 + 1320x + -1320x + -4x2 + 4x2
94500 + -1320x + 4x2 = 1320x + -1320x + -4x2 + 4x2

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

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

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

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

Ignore the factor 4.
Subproblem 1
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
Subproblem 2
Set the factor '(225 + -1x)' equal to zero and attempt to solve:

Simplifying
225 + -1x = 0

Solving
225 + -1x = 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 + -1x = 0 + -225

Combine like terms: 225 + -225 = 0
0 + -1x = 0 + -225
-1x = 0 + -225

Combine like terms: 0 + -225 = -225
-1x = -225

Divide each side by '-1'.
x = 225

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