(-x-6)(-4x-6)=

Solution for (-x-6)(-4x-6)= equation:

Simplifying
(-1x + -6)(-4x + -6) = 0

Reorder the terms:
(-6 + -1x)(-4x + -6) = 0

Reorder the terms:
(-6 + -1x)(-6 + -4x) = 0

Multiply (-6 + -1x) * (-6 + -4x)
(-6(-6 + -4x) + -1x * (-6 + -4x)) = 0
((-6 * -6 + -4x * -6) + -1x * (-6 + -4x)) = 0
((36 + 24x) + -1x * (-6 + -4x)) = 0
(36 + 24x + (-6 * -1x + -4x * -1x)) = 0
(36 + 24x + (6x + 4x2)) = 0

Combine like terms: 24x + 6x = 30x
(36 + 30x + 4x2) = 0

Solving
36 + 30x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(18 + 15x + 2x2) = 0

Factor a trinomial.
2((6 + x)(3 + 2x)) = 0

Ignore the factor 2.
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 + 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 = {-6, -1.5}