26x^2+78x-8840=0

Solution for 26x^2+78x-8840=0 equation:

Simplifying
26x2 + 78x + -8840 = 0

Reorder the terms:
-8840 + 78x + 26x2 = 0

Solving
-8840 + 78x + 26x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '26'.
26(-340 + 3x + x2) = 0

Factor a trinomial.
26((-20 + -1x)(17 + -1x)) = 0

Ignore the factor 26.
Subproblem 1
Set the factor '(-20 + -1x)' equal to zero and attempt to solve:

Simplifying
-20 + -1x = 0

Solving
-20 + -1x = 0

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

Add '20' to each side of the equation.
-20 + 20 + -1x = 0 + 20

Combine like terms: -20 + 20 = 0
0 + -1x = 0 + 20
-1x = 0 + 20

Combine like terms: 0 + 20 = 20
-1x = 20

Divide each side by '-1'.
x = -20

Simplifying
x = -20
Subproblem 2
Set the factor '(17 + -1x)' equal to zero and attempt to solve:

Simplifying
17 + -1x = 0

Solving
17 + -1x = 0

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

Add '-17' to each side of the equation.
17 + -17 + -1x = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -1x = 0 + -17
-1x = 0 + -17

Combine like terms: 0 + -17 = -17
-1x = -17

Divide each side by '-1'.
x = 17

Simplifying
x = 17
Solution
x = {-20, 17}