(9x-5)(-6x-4)=

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Solution for (9x-5)(-6x-4)= equation: 


Simplifying
(9x + -5)(-6x + -4) = 0

Reorder the terms:
(-5 + 9x)(-6x + -4) = 0

Reorder the terms:
(-5 + 9x)(-4 + -6x) = 0

Multiply (-5 + 9x) * (-4 + -6x)
(-5(-4 + -6x) + 9x * (-4 + -6x)) = 0
((-4 * -5 + -6x * -5) + 9x * (-4 + -6x)) = 0
((20 + 30x) + 9x * (-4 + -6x)) = 0
(20 + 30x + (-4 * 9x + -6x * 9x)) = 0
(20 + 30x + (-36x + -54x2)) = 0

Combine like terms: 30x + -36x = -6x
(20 + -6x + -54x2) = 0

Solving
20 + -6x + -54x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(10 + -3x + -27x2) = 0

Factor a trinomial.
2((5 + -9x)(2 + 3x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(5 + -9x)' equal to zero and attempt to solve:

Simplifying
5 + -9x = 0

Solving
5 + -9x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -9x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -9x = 0 + -5
-9x = 0 + -5

Combine like terms: 0 + -5 = -5
-9x = -5

Divide each side by '-9'.
x = 0.5555555556

Simplifying
x = 0.5555555556

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 = {0.5555555556, -0.6666666667}

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