-x^2+160x-3900=0

Solution for -x^2+160x-3900=0 equation:

Simplifying
-1x2 + 160x + -3900 = 0

Reorder the terms:
-3900 + 160x + -1x2 = 0

Solving
-3900 + 160x + -1x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-130 + x)(30 + -1x) = 0

Subproblem 1
Set the factor '(-130 + x)' equal to zero and attempt to solve:

Simplifying
-130 + x = 0

Solving
-130 + x = 0

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

Add '130' to each side of the equation.
-130 + 130 + x = 0 + 130

Combine like terms: -130 + 130 = 0
0 + x = 0 + 130
x = 0 + 130

Combine like terms: 0 + 130 = 130
x = 130

Simplifying
x = 130
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 = {130, 30}