9x^2-8x-54=-2

Solution for 9x^2-8x-54=-2 equation:

Simplifying
9x2 + -8x + -54 = -2

Reorder the terms:
-54 + -8x + 9x2 = -2

Solving
-54 + -8x + 9x2 = -2

Solving for variable 'x'.

Reorder the terms:
-54 + 2 + -8x + 9x2 = -2 + 2

Combine like terms: -54 + 2 = -52
-52 + -8x + 9x2 = -2 + 2

Combine like terms: -2 + 2 = 0
-52 + -8x + 9x2 = 0

Factor a trinomial.
(-2 + -1x)(26 + -9x) = 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 '(26 + -9x)' equal to zero and attempt to solve:

Simplifying
26 + -9x = 0

Solving
26 + -9x = 0

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

Add '-26' to each side of the equation.
26 + -26 + -9x = 0 + -26

Combine like terms: 26 + -26 = 0
0 + -9x = 0 + -26
-9x = 0 + -26

Combine like terms: 0 + -26 = -26
-9x = -26

Divide each side by '-9'.
x = 2.888888889

Simplifying
x = 2.888888889
Solution
x = {-2, 2.888888889}