x^2+75x-17500=0

Solution for x^2+75x-17500=0 equation:

Simplifying
x2 + 75x + -17500 = 0

Reorder the terms:
-17500 + 75x + x2 = 0

Solving
-17500 + 75x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-175 + -1x)(100 + -1x) = 0

Subproblem 1
Set the factor '(-175 + -1x)' equal to zero and attempt to solve:

Simplifying
-175 + -1x = 0

Solving
-175 + -1x = 0

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

Add '175' to each side of the equation.
-175 + 175 + -1x = 0 + 175

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

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

Divide each side by '-1'.
x = -175

Simplifying
x = -175
Subproblem 2
Set the factor '(100 + -1x)' equal to zero and attempt to solve:

Simplifying
100 + -1x = 0

Solving
100 + -1x = 0

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

Add '-100' to each side of the equation.
100 + -100 + -1x = 0 + -100

Combine like terms: 100 + -100 = 0
0 + -1x = 0 + -100
-1x = 0 + -100

Combine like terms: 0 + -100 = -100
-1x = -100

Divide each side by '-1'.
x = 100

Simplifying
x = 100
Solution
x = {-175, 100}