2x^2+8x-2170=0

Solution for 2x^2+8x-2170=0 equation:

Simplifying
2x2 + 8x + -2170 = 0

Reorder the terms:
-2170 + 8x + 2x2 = 0

Solving
-2170 + 8x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-1085 + 4x + x2) = 0

Factor a trinomial.
2((-35 + -1x)(31 + -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 '(31 + -1x)' equal to zero and attempt to solve:

Simplifying
31 + -1x = 0

Solving
31 + -1x = 0

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

Add '-31' to each side of the equation.
31 + -31 + -1x = 0 + -31

Combine like terms: 31 + -31 = 0
0 + -1x = 0 + -31
-1x = 0 + -31

Combine like terms: 0 + -31 = -31
-1x = -31

Divide each side by '-1'.
x = 31

Simplifying
x = 31
Solution
x = {-35, 31}