x^2-115x+3150=0

Solution for x^2-115x+3150=0 equation:

Simplifying
x2 + -115x + 3150 = 0

Reorder the terms:
3150 + -115x + x2 = 0

Solving
3150 + -115x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(45 + -1x)(70 + -1x) = 0

Subproblem 1
Set the factor '(45 + -1x)' equal to zero and attempt to solve:

Simplifying
45 + -1x = 0

Solving
45 + -1x = 0

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

Add '-45' to each side of the equation.
45 + -45 + -1x = 0 + -45

Combine like terms: 45 + -45 = 0
0 + -1x = 0 + -45
-1x = 0 + -45

Combine like terms: 0 + -45 = -45
-1x = -45

Divide each side by '-1'.
x = 45

Simplifying
x = 45
Subproblem 2
Set the factor '(70 + -1x)' equal to zero and attempt to solve:

Simplifying
70 + -1x = 0

Solving
70 + -1x = 0

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

Add '-70' to each side of the equation.
70 + -70 + -1x = 0 + -70

Combine like terms: 70 + -70 = 0
0 + -1x = 0 + -70
-1x = 0 + -70

Combine like terms: 0 + -70 = -70
-1x = -70

Divide each side by '-1'.
x = 70

Simplifying
x = 70
Solution
x = {45, 70}