33x^2+56x-89=0

Solution for 33x^2+56x-89=0 equation:

Simplifying
33x2 + 56x + -89 = 0

Reorder the terms:
-89 + 56x + 33x2 = 0

Solving
-89 + 56x + 33x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-89 + -33x)(1 + -1x) = 0

Subproblem 1
Set the factor '(-89 + -33x)' equal to zero and attempt to solve:

Simplifying
-89 + -33x = 0

Solving
-89 + -33x = 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 + -33x = 0 + 89

Combine like terms: -89 + 89 = 0
0 + -33x = 0 + 89
-33x = 0 + 89

Combine like terms: 0 + 89 = 89
-33x = 89

Divide each side by '-33'.
x = -2.696969697

Simplifying
x = -2.696969697
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 = {-2.696969697, 1}