10x^2-9x-11=-2

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

Simplifying
10x2 + -9x + -11 = -2

Reorder the terms:
-11 + -9x + 10x2 = -2

Solving
-11 + -9x + 10x2 = -2

Solving for variable 'x'.

Reorder the terms:
-11 + 2 + -9x + 10x2 = -2 + 2

Combine like terms: -11 + 2 = -9
-9 + -9x + 10x2 = -2 + 2

Combine like terms: -2 + 2 = 0
-9 + -9x + 10x2 = 0

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

Subproblem 1
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
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 = {-0.6, 1.5}