23x^2+10x-33=0

Solution for 23x^2+10x-33=0 equation:

Simplifying
23x2 + 10x + -33 = 0

Reorder the terms:
-33 + 10x + 23x2 = 0

Solving
-33 + 10x + 23x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-33 + -23x)(1 + -1x) = 0

Subproblem 1
Set the factor '(-33 + -23x)' equal to zero and attempt to solve:

Simplifying
-33 + -23x = 0

Solving
-33 + -23x = 0

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

Add '33' to each side of the equation.
-33 + 33 + -23x = 0 + 33

Combine like terms: -33 + 33 = 0
0 + -23x = 0 + 33
-23x = 0 + 33

Combine like terms: 0 + 33 = 33
-23x = 33

Divide each side by '-23'.
x = -1.434782609

Simplifying
x = -1.434782609
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 = {-1.434782609, 1}