10x^2+11x-6=12

Solution for 10x^2+11x-6=12 equation:

Simplifying
10x2 + 11x + -6 = 12

Reorder the terms:
-6 + 11x + 10x2 = 12

Solving
-6 + 11x + 10x2 = 12

Solving for variable 'x'.

Reorder the terms:
-6 + -12 + 11x + 10x2 = 12 + -12

Combine like terms: -6 + -12 = -18
-18 + 11x + 10x2 = 12 + -12

Combine like terms: 12 + -12 = 0
-18 + 11x + 10x2 = 0

Factor a trinomial.
(-2 + -1x)(9 + -10x) = 0

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

Simplifying
-2 + -1x = 0

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

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

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

Divide each side by '-1'.
x = -2

Simplifying
x = -2
Subproblem 2
Set the factor '(9 + -10x)' equal to zero and attempt to solve:

Simplifying
9 + -10x = 0

Solving
9 + -10x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -10x = 0 + -9

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

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

Divide each side by '-10'.
x = 0.9

Simplifying
x = 0.9
Solution
x = {-2, 0.9}