-14x^2+1820x-56000=0

Solution for -14x^2+1820x-56000=0 equation:

Simplifying
-14x2 + 1820x + -56000 = 0

Reorder the terms:
-56000 + 1820x + -14x2 = 0

Solving
-56000 + 1820x + -14x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '14'.
14(-4000 + 130x + -1x2) = 0

Factor a trinomial.
14((-80 + x)(50 + -1x)) = 0

Ignore the factor 14.
Subproblem 1
Set the factor '(-80 + x)' equal to zero and attempt to solve:

Simplifying
-80 + x = 0

Solving
-80 + x = 0

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

Add '80' to each side of the equation.
-80 + 80 + x = 0 + 80

Combine like terms: -80 + 80 = 0
0 + x = 0 + 80
x = 0 + 80

Combine like terms: 0 + 80 = 80
x = 80

Simplifying
x = 80
Subproblem 2
Set the factor '(50 + -1x)' equal to zero and attempt to solve:

Simplifying
50 + -1x = 0

Solving
50 + -1x = 0

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

Add '-50' to each side of the equation.
50 + -50 + -1x = 0 + -50

Combine like terms: 50 + -50 = 0
0 + -1x = 0 + -50
-1x = 0 + -50

Combine like terms: 0 + -50 = -50
-1x = -50

Divide each side by '-1'.
x = 50

Simplifying
x = 50
Solution
x = {80, 50}