(-x-6)(-9x+2)=

Solution for (-x-6)(-9x+2)= equation:

Simplifying
(-1x + -6)(-9x + 2) = 0

Reorder the terms:
(-6 + -1x)(-9x + 2) = 0

Reorder the terms:
(-6 + -1x)(2 + -9x) = 0

Multiply (-6 + -1x) * (2 + -9x)
(-6(2 + -9x) + -1x * (2 + -9x)) = 0
((2 * -6 + -9x * -6) + -1x * (2 + -9x)) = 0
((-12 + 54x) + -1x * (2 + -9x)) = 0
(-12 + 54x + (2 * -1x + -9x * -1x)) = 0
(-12 + 54x + (-2x + 9x2)) = 0

Combine like terms: 54x + -2x = 52x
(-12 + 52x + 9x2) = 0

Solving
-12 + 52x + 9x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-6 + -1x)(2 + -9x) = 0

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

Simplifying
-6 + -1x = 0

Solving
-6 + -1x = 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 + -1x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = 0 + 6
-1x = 0 + 6

Combine like terms: 0 + 6 = 6
-1x = 6

Divide each side by '-1'.
x = -6

Simplifying
x = -6
Subproblem 2
Set the factor '(2 + -9x)' equal to zero and attempt to solve:

Simplifying
2 + -9x = 0

Solving
2 + -9x = 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 + -9x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -9x = 0 + -2
-9x = 0 + -2

Combine like terms: 0 + -2 = -2
-9x = -2

Divide each side by '-9'.
x = 0.2222222222

Simplifying
x = 0.2222222222
Solution
x = {-6, 0.2222222222}