23x^2+91x+90=0

Solution for 23x^2+91x+90=0 equation:

Simplifying
23x2 + 91x + 90 = 0

Reorder the terms:
90 + 91x + 23x2 = 0

Solving
90 + 91x + 23x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2 + x)(45 + 23x) = 0

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

Simplifying
2 + x = 0

Solving
2 + x = 0

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

Add '-2' to each side of the equation.
2 + -2 + x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + x = 0 + -2
x = 0 + -2

Combine like terms: 0 + -2 = -2
x = -2

Simplifying
x = -2
Subproblem 2
Set the factor '(45 + 23x)' equal to zero and attempt to solve:

Simplifying
45 + 23x = 0

Solving
45 + 23x = 0

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

Add '-45' to each side of the equation.
45 + -45 + 23x = 0 + -45

Combine like terms: 45 + -45 = 0
0 + 23x = 0 + -45
23x = 0 + -45

Combine like terms: 0 + -45 = -45
23x = -45

Divide each side by '23'.
x = -1.956521739

Simplifying
x = -1.956521739
Solution
x = {-2, -1.956521739}