9x^2+27x=x-16

Solution for 9x^2+27x=x-16 equation:

Simplifying
9x2 + 27x = x + -16

Reorder the terms:
27x + 9x2 = x + -16

Reorder the terms:
27x + 9x2 = -16 + x

Solving
27x + 9x2 = -16 + x

Solving for variable 'x'.

Reorder the terms:
16 + 27x + -1x + 9x2 = -16 + x + 16 + -1x

Combine like terms: 27x + -1x = 26x
16 + 26x + 9x2 = -16 + x + 16 + -1x

Reorder the terms:
16 + 26x + 9x2 = -16 + 16 + x + -1x

Combine like terms: -16 + 16 = 0
16 + 26x + 9x2 = 0 + x + -1x
16 + 26x + 9x2 = x + -1x

Combine like terms: x + -1x = 0
16 + 26x + 9x2 = 0

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

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

Simplifying
2 + x = 0

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

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

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

Simplifying
x = -2
Subproblem 2
Set the factor '(8 + 9x)' equal to zero and attempt to solve:

Simplifying
8 + 9x = 0

Solving
8 + 9x = 0

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

Add '-8' to each side of the equation.
8 + -8 + 9x = 0 + -8

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

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

Divide each side by '9'.
x = -0.8888888889

Simplifying
x = -0.8888888889
Solution
x = {-2, -0.8888888889}