(-8x-6)(9x-1)=

Solution for (-8x-6)(9x-1)= equation:

Simplifying
(-8x + -6)(9x + -1) = 0

Reorder the terms:
(-6 + -8x)(9x + -1) = 0

Reorder the terms:
(-6 + -8x)(-1 + 9x) = 0

Multiply (-6 + -8x) * (-1 + 9x)
(-6(-1 + 9x) + -8x * (-1 + 9x)) = 0
((-1 * -6 + 9x * -6) + -8x * (-1 + 9x)) = 0
((6 + -54x) + -8x * (-1 + 9x)) = 0
(6 + -54x + (-1 * -8x + 9x * -8x)) = 0
(6 + -54x + (8x + -72x2)) = 0

Combine like terms: -54x + 8x = -46x
(6 + -46x + -72x2) = 0

Solving
6 + -46x + -72x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(3 + -23x + -36x2) = 0

Factor a trinomial.
2((1 + -9x)(3 + 4x)) = 0

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

Simplifying
1 + -9x = 0

Solving
1 + -9x = 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 + -9x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -9x = 0 + -1
-9x = 0 + -1

Combine like terms: 0 + -1 = -1
-9x = -1

Divide each side by '-9'.
x = 0.1111111111

Simplifying
x = 0.1111111111
Subproblem 2
Set the factor '(3 + 4x)' equal to zero and attempt to solve:

Simplifying
3 + 4x = 0

Solving
3 + 4x = 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 + 4x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 4x = 0 + -3
4x = 0 + -3

Combine like terms: 0 + -3 = -3
4x = -3

Divide each side by '4'.
x = -0.75

Simplifying
x = -0.75
Solution
x = {0.1111111111, -0.75}