2x^2-30x=3500

Solution for 2x^2-30x=3500 equation:

Simplifying
2x2 + -30x = 3500

Reorder the terms:
-30x + 2x2 = 3500

Solving
-30x + 2x2 = 3500

Solving for variable 'x'.

Reorder the terms:
-3500 + -30x + 2x2 = 3500 + -3500

Combine like terms: 3500 + -3500 = 0
-3500 + -30x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1750 + -15x + x2) = 0

Factor a trinomial.
2((-35 + -1x)(50 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-35 + -1x)' equal to zero and attempt to solve:

Simplifying
-35 + -1x = 0

Solving
-35 + -1x = 0

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

Add '35' to each side of the equation.
-35 + 35 + -1x = 0 + 35

Combine like terms: -35 + 35 = 0
0 + -1x = 0 + 35
-1x = 0 + 35

Combine like terms: 0 + 35 = 35
-1x = 35

Divide each side by '-1'.
x = -35

Simplifying
x = -35
Subproblem 2
Set the factor '(50 + -1x)' equal to zero and attempt to solve:

Simplifying
50 + -1x = 0

Solving
50 + -1x = 0

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

Add '-50' to each side of the equation.
50 + -50 + -1x = 0 + -50

Combine like terms: 50 + -50 = 0
0 + -1x = 0 + -50
-1x = 0 + -50

Combine like terms: 0 + -50 = -50
-1x = -50

Divide each side by '-1'.
x = 50

Simplifying
x = 50
Solution
x = {-35, 50}