(4x+4)(9x+6)=

Solution for (4x+4)(9x+6)= equation:

Simplifying
(4x + 4)(9x + 6) = 0

Reorder the terms:
(4 + 4x)(9x + 6) = 0

Reorder the terms:
(4 + 4x)(6 + 9x) = 0

Multiply (4 + 4x) * (6 + 9x)
(4(6 + 9x) + 4x * (6 + 9x)) = 0
((6 * 4 + 9x * 4) + 4x * (6 + 9x)) = 0
((24 + 36x) + 4x * (6 + 9x)) = 0
(24 + 36x + (6 * 4x + 9x * 4x)) = 0
(24 + 36x + (24x + 36x2)) = 0

Combine like terms: 36x + 24x = 60x
(24 + 60x + 36x2) = 0

Solving
24 + 60x + 36x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '12'.
12(2 + 5x + 3x2) = 0

Factor a trinomial.
12((1 + x)(2 + 3x)) = 0

Ignore the factor 12.
Subproblem 1
Set the factor '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 0

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

Add '-1' to each side of the equation.
1 + -1 + x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + x = 0 + -1
x = 0 + -1

Combine like terms: 0 + -1 = -1
x = -1

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

Simplifying
2 + 3x = 0

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

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

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

Divide each side by '3'.
x = -0.6666666667

Simplifying
x = -0.6666666667
Solution
x = {-1, -0.6666666667}