8x^2+4x-4=2-9x

Solution for 8x^2+4x-4=2-9x equation:

Simplifying
8x2 + 4x + -4 = 2 + -9x

Reorder the terms:
-4 + 4x + 8x2 = 2 + -9x

Solving
-4 + 4x + 8x2 = 2 + -9x

Solving for variable 'x'.

Reorder the terms:
-4 + -2 + 4x + 9x + 8x2 = 2 + -9x + -2 + 9x

Combine like terms: -4 + -2 = -6
-6 + 4x + 9x + 8x2 = 2 + -9x + -2 + 9x

Combine like terms: 4x + 9x = 13x
-6 + 13x + 8x2 = 2 + -9x + -2 + 9x

Reorder the terms:
-6 + 13x + 8x2 = 2 + -2 + -9x + 9x

Combine like terms: 2 + -2 = 0
-6 + 13x + 8x2 = 0 + -9x + 9x
-6 + 13x + 8x2 = -9x + 9x

Combine like terms: -9x + 9x = 0
-6 + 13x + 8x2 = 0

Factor a trinomial.
(-2 + -1x)(3 + -8x) = 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 '(3 + -8x)' equal to zero and attempt to solve:

Simplifying
3 + -8x = 0

Solving
3 + -8x = 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 + -8x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -8x = 0 + -3
-8x = 0 + -3

Combine like terms: 0 + -3 = -3
-8x = -3

Divide each side by '-8'.
x = 0.375

Simplifying
x = 0.375
Solution
x = {-2, 0.375}