0=-20x^2+23x-6

Solution for 0=-20x^2+23x-6 equation:

Simplifying
0 = -20x2 + 23x + -6

Reorder the terms:
0 = -6 + 23x + -20x2

Solving
0 = -6 + 23x + -20x2

Solving for variable 'x'.

Combine like terms: 0 + 6 = 6
6 + -23x + 20x2 = -6 + 23x + -20x2 + 6 + -23x + 20x2

Reorder the terms:
6 + -23x + 20x2 = -6 + 6 + 23x + -23x + -20x2 + 20x2

Combine like terms: -6 + 6 = 0
6 + -23x + 20x2 = 0 + 23x + -23x + -20x2 + 20x2
6 + -23x + 20x2 = 23x + -23x + -20x2 + 20x2

Combine like terms: 23x + -23x = 0
6 + -23x + 20x2 = 0 + -20x2 + 20x2
6 + -23x + 20x2 = -20x2 + 20x2

Combine like terms: -20x2 + 20x2 = 0
6 + -23x + 20x2 = 0

Factor a trinomial.
(2 + -5x)(3 + -4x) = 0

Subproblem 1
Set the factor '(2 + -5x)' equal to zero and attempt to solve:

Simplifying
2 + -5x = 0

Solving
2 + -5x = 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 + -5x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5x = 0 + -2
-5x = 0 + -2

Combine like terms: 0 + -2 = -2
-5x = -2

Divide each side by '-5'.
x = 0.4

Simplifying
x = 0.4
Subproblem 2
Set the factor '(3 + -4x)' equal to zero and attempt to solve:

Simplifying
3 + -4x = 0

Solving
3 + -4x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -4x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4x = 0 + -3
-4x = 0 + -3

Combine like terms: 0 + -3 = -3
-4x = -3

Divide each side by '-4'.
x = 0.75

Simplifying
x = 0.75
Solution
x = {0.4, 0.75}