8x^2+x-11=-2

Solution for 8x^2+x-11=-2 equation:

Simplifying
8x2 + x + -11 = -2

Reorder the terms:
-11 + x + 8x2 = -2

Solving
-11 + x + 8x2 = -2

Solving for variable 'x'.

Reorder the terms:
-11 + 2 + x + 8x2 = -2 + 2

Combine like terms: -11 + 2 = -9
-9 + x + 8x2 = -2 + 2

Combine like terms: -2 + 2 = 0
-9 + x + 8x2 = 0

Factor a trinomial.
(-9 + -8x)(1 + -1x) = 0

Subproblem 1
Set the factor '(-9 + -8x)' equal to zero and attempt to solve:

Simplifying
-9 + -8x = 0

Solving
-9 + -8x = 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 + -8x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -8x = 0 + 9
-8x = 0 + 9

Combine like terms: 0 + 9 = 9
-8x = 9

Divide each side by '-8'.
x = -1.125

Simplifying
x = -1.125
Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

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

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

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

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

Simplifying
x = 1
Solution
x = {-1.125, 1}