-13x^2+1560x-35100=0

Solution for -13x^2+1560x-35100=0 equation:

Simplifying
-13x2 + 1560x + -35100 = 0

Reorder the terms:
-35100 + 1560x + -13x2 = 0

Solving
-35100 + 1560x + -13x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '13'.
13(-2700 + 120x + -1x2) = 0

Factor a trinomial.
13((-90 + x)(30 + -1x)) = 0

Ignore the factor 13.
Subproblem 1
Set the factor '(-90 + x)' equal to zero and attempt to solve:

Simplifying
-90 + x = 0

Solving
-90 + x = 0

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

Add '90' to each side of the equation.
-90 + 90 + x = 0 + 90

Combine like terms: -90 + 90 = 0
0 + x = 0 + 90
x = 0 + 90

Combine like terms: 0 + 90 = 90
x = 90

Simplifying
x = 90
Subproblem 2
Set the factor '(30 + -1x)' equal to zero and attempt to solve:

Simplifying
30 + -1x = 0

Solving
30 + -1x = 0

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

Add '-30' to each side of the equation.
30 + -30 + -1x = 0 + -30

Combine like terms: 30 + -30 = 0
0 + -1x = 0 + -30
-1x = 0 + -30

Combine like terms: 0 + -30 = -30
-1x = -30

Divide each side by '-1'.
x = 30

Simplifying
x = 30
Solution
x = {90, 30}