10x^2-6=11x

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

Simplifying
10x2 + -6 = 11x

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

Solving
-6 + 10x2 = 11x

Solving for variable 'x'.

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

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

Factor a trinomial.
(-2 + -5x)(3 + -2x) = 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 + -2x)' equal to zero and attempt to solve:

Simplifying
3 + -2x = 0

Solving
3 + -2x = 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 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3

Combine like terms: 0 + -3 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5
Solution
x = {-0.4, 1.5}