(-6x-3)(x+9)=

Solution for (-6x-3)(x+9)= equation:

Simplifying
(-6x + -3)(x + 9) = 0

Reorder the terms:
(-3 + -6x)(x + 9) = 0

Reorder the terms:
(-3 + -6x)(9 + x) = 0

Multiply (-3 + -6x) * (9 + x)
(-3(9 + x) + -6x * (9 + x)) = 0
((9 * -3 + x * -3) + -6x * (9 + x)) = 0
((-27 + -3x) + -6x * (9 + x)) = 0
(-27 + -3x + (9 * -6x + x * -6x)) = 0
(-27 + -3x + (-54x + -6x2)) = 0

Combine like terms: -3x + -54x = -57x
(-27 + -57x + -6x2) = 0

Solving
-27 + -57x + -6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-3'.
-3(9 + 19x + 2x2) = 0

Factor a trinomial.
-3((9 + x)(1 + 2x)) = 0

Ignore the factor -3.
Subproblem 1
Set the factor '(9 + x)' equal to zero and attempt to solve:

Simplifying
9 + x = 0

Solving
9 + x = 0

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

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

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

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

Simplifying
x = -9
Subproblem 2
Set the factor '(1 + 2x)' equal to zero and attempt to solve:

Simplifying
1 + 2x = 0

Solving
1 + 2x = 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 + 2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 0 + -1
2x = 0 + -1

Combine like terms: 0 + -1 = -1
2x = -1

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5
Solution
x = {-9, -0.5}