0=4x^2+18x+18

Solution for 0=4x^2+18x+18 equation:

Simplifying
0 = 4x2 + 18x + 18

Reorder the terms:
0 = 18 + 18x + 4x2

Solving
0 = 18 + 18x + 4x2

Solving for variable 'x'.

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

Reorder the terms:
-18 + -18x + -4x2 = 18 + -18 + 18x + -18x + 4x2 + -4x2

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

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

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

Factor out the Greatest Common Factor (GCF), '-2'.
-2(9 + 9x + 2x2) = 0

Factor a trinomial.
-2((3 + x)(3 + 2x)) = 0

Ignore the factor -2.
Subproblem 1
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

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

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

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

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

Simplifying
3 + 2x = 0

Solving
3 + 2x = 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 + 2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = 0 + -3
2x = 0 + -3

Combine like terms: 0 + -3 = -3
2x = -3

Divide each side by '2'.
x = -1.5

Simplifying
x = -1.5
Solution
x = {-3, -1.5}