-9x^2+23x-14=0

Solution for -9x^2+23x-14=0 equation:

Simplifying
-9x2 + 23x + -14 = 0

Reorder the terms:
-14 + 23x + -9x2 = 0

Solving
-14 + 23x + -9x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-14 + 9x)(1 + -1x) = 0

Subproblem 1
Set the factor '(-14 + 9x)' equal to zero and attempt to solve:

Simplifying
-14 + 9x = 0

Solving
-14 + 9x = 0

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

Add '14' to each side of the equation.
-14 + 14 + 9x = 0 + 14

Combine like terms: -14 + 14 = 0
0 + 9x = 0 + 14
9x = 0 + 14

Combine like terms: 0 + 14 = 14
9x = 14

Divide each side by '9'.
x = 1.555555556

Simplifying
x = 1.555555556
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 = {1.555555556, 1}