2x^2-30x-35000=0

Solution for 2x^2-30x-35000=0 equation:

Simplifying
2x2 + -30x + -35000 = 0

Reorder the terms:
-35000 + -30x + 2x2 = 0

Solving
-35000 + -30x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-17500 + -15x + x2) = 0

Factor a trinomial.
2((-125 + -1x)(140 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-125 + -1x)' equal to zero and attempt to solve:

Simplifying
-125 + -1x = 0

Solving
-125 + -1x = 0

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

Add '125' to each side of the equation.
-125 + 125 + -1x = 0 + 125

Combine like terms: -125 + 125 = 0
0 + -1x = 0 + 125
-1x = 0 + 125

Combine like terms: 0 + 125 = 125
-1x = 125

Divide each side by '-1'.
x = -125

Simplifying
x = -125
Subproblem 2
Set the factor '(140 + -1x)' equal to zero and attempt to solve:

Simplifying
140 + -1x = 0

Solving
140 + -1x = 0

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

Add '-140' to each side of the equation.
140 + -140 + -1x = 0 + -140

Combine like terms: 140 + -140 = 0
0 + -1x = 0 + -140
-1x = 0 + -140

Combine like terms: 0 + -140 = -140
-1x = -140

Divide each side by '-1'.
x = 140

Simplifying
x = 140
Solution
x = {-125, 140}