175x-1x^2=3100

Solution for 175x-1x^2=3100 equation:

Simplifying
175x + -1x2 = 3100

Solving
175x + -1x2 = 3100

Solving for variable 'x'.

Reorder the terms:
-3100 + 175x + -1x2 = 3100 + -3100

Combine like terms: 3100 + -3100 = 0
-3100 + 175x + -1x2 = 0

Factor a trinomial.
(-155 + x)(20 + -1x) = 0

Subproblem 1
Set the factor '(-155 + x)' equal to zero and attempt to solve:

Simplifying
-155 + x = 0

Solving
-155 + x = 0

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

Add '155' to each side of the equation.
-155 + 155 + x = 0 + 155

Combine like terms: -155 + 155 = 0
0 + x = 0 + 155
x = 0 + 155

Combine like terms: 0 + 155 = 155
x = 155

Simplifying
x = 155
Subproblem 2
Set the factor '(20 + -1x)' equal to zero and attempt to solve:

Simplifying
20 + -1x = 0

Solving
20 + -1x = 0

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

Add '-20' to each side of the equation.
20 + -20 + -1x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1x = 0 + -20
-1x = 0 + -20

Combine like terms: 0 + -20 = -20
-1x = -20

Divide each side by '-1'.
x = 20

Simplifying
x = 20
Solution
x = {155, 20}