8x^2+34x-1342=0

Solution for 8x^2+34x-1342=0 equation:

Simplifying
8x2 + 34x + -1342 = 0

Reorder the terms:
-1342 + 34x + 8x2 = 0

Solving
-1342 + 34x + 8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-671 + 17x + 4x2) = 0

Factor a trinomial.
2((-61 + -4x)(11 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-61 + -4x)' equal to zero and attempt to solve:

Simplifying
-61 + -4x = 0

Solving
-61 + -4x = 0

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

Add '61' to each side of the equation.
-61 + 61 + -4x = 0 + 61

Combine like terms: -61 + 61 = 0
0 + -4x = 0 + 61
-4x = 0 + 61

Combine like terms: 0 + 61 = 61
-4x = 61

Divide each side by '-4'.
x = -15.25

Simplifying
x = -15.25
Subproblem 2
Set the factor '(11 + -1x)' equal to zero and attempt to solve:

Simplifying
11 + -1x = 0

Solving
11 + -1x = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = 0 + -11
-1x = 0 + -11

Combine like terms: 0 + -11 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11
Solution
x = {-15.25, 11}