34x^2+55x-89=0

Solution for 34x^2+55x-89=0 equation:

Simplifying
34x2 + 55x + -89 = 0

Reorder the terms:
-89 + 55x + 34x2 = 0

Solving
-89 + 55x + 34x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-89 + -34x)(1 + -1x) = 0

Subproblem 1
Set the factor '(-89 + -34x)' equal to zero and attempt to solve:

Simplifying
-89 + -34x = 0

Solving
-89 + -34x = 0

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

Add '89' to each side of the equation.
-89 + 89 + -34x = 0 + 89

Combine like terms: -89 + 89 = 0
0 + -34x = 0 + 89
-34x = 0 + 89

Combine like terms: 0 + 89 = 89
-34x = 89

Divide each side by '-34'.
x = -2.617647059

Simplifying
x = -2.617647059
Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1
Solution
x = {-2.617647059, 1}