10x^2-11x+9=6

Solution for 10x^2-11x+9=6 equation:

Simplifying
10x2 + -11x + 9 = 6

Reorder the terms:
9 + -11x + 10x2 = 6

Solving
9 + -11x + 10x2 = 6

Solving for variable 'x'.

Reorder the terms:
9 + -6 + -11x + 10x2 = 6 + -6

Combine like terms: 9 + -6 = 3
3 + -11x + 10x2 = 6 + -6

Combine like terms: 6 + -6 = 0
3 + -11x + 10x2 = 0

Factor a trinomial.
(1 + -2x)(3 + -5x) = 0

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

Simplifying
1 + -2x = 0

Solving
1 + -2x = 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 + -2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = 0 + -1
-2x = 0 + -1

Combine like terms: 0 + -1 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5
Subproblem 2
Set the factor '(3 + -5x)' equal to zero and attempt to solve:

Simplifying
3 + -5x = 0

Solving
3 + -5x = 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 + -5x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5x = 0 + -3
-5x = 0 + -3

Combine like terms: 0 + -3 = -3
-5x = -3

Divide each side by '-5'.
x = 0.6

Simplifying
x = 0.6
Solution
x = {0.5, 0.6}