4x^2+27x+16=-2

Solution for 4x^2+27x+16=-2 equation:

Simplifying
4x2 + 27x + 16 = -2

Reorder the terms:
16 + 27x + 4x2 = -2

Solving
16 + 27x + 4x2 = -2

Solving for variable 'x'.

Reorder the terms:
16 + 2 + 27x + 4x2 = -2 + 2

Combine like terms: 16 + 2 = 18
18 + 27x + 4x2 = -2 + 2

Combine like terms: -2 + 2 = 0
18 + 27x + 4x2 = 0

Factor a trinomial.
(6 + x)(3 + 4x) = 0

Subproblem 1
Set the factor '(6 + x)' equal to zero and attempt to solve:

Simplifying
6 + x = 0

Solving
6 + x = 0

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

Add '-6' to each side of the equation.
6 + -6 + x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + x = 0 + -6
x = 0 + -6

Combine like terms: 0 + -6 = -6
x = -6

Simplifying
x = -6
Subproblem 2
Set the factor '(3 + 4x)' equal to zero and attempt to solve:

Simplifying
3 + 4x = 0

Solving
3 + 4x = 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 + 4x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 4x = 0 + -3
4x = 0 + -3

Combine like terms: 0 + -3 = -3
4x = -3

Divide each side by '4'.
x = -0.75

Simplifying
x = -0.75
Solution
x = {-6, -0.75}