(9x-2)(-3x-4)=

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Solution for (9x-2)(-3x-4)= equation: 


Simplifying
(9x + -2)(-3x + -4) = 0

Reorder the terms:
(-2 + 9x)(-3x + -4) = 0

Reorder the terms:
(-2 + 9x)(-4 + -3x) = 0

Multiply (-2 + 9x) * (-4 + -3x)
(-2(-4 + -3x) + 9x * (-4 + -3x)) = 0
((-4 * -2 + -3x * -2) + 9x * (-4 + -3x)) = 0
((8 + 6x) + 9x * (-4 + -3x)) = 0
(8 + 6x + (-4 * 9x + -3x * 9x)) = 0
(8 + 6x + (-36x + -27x2)) = 0

Combine like terms: 6x + -36x = -30x
(8 + -30x + -27x2) = 0

Solving
8 + -30x + -27x2 = 0

Solving for variable 'x'.

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


Subproblem 1
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

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

Simplifying
4 + 3x = 0

Solving
4 + 3x = 0

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

Add '-4' to each side of the equation.
4 + -4 + 3x = 0 + -4

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

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

Divide each side by '3'.
x = -1.333333333

Simplifying
x = -1.333333333
Solution
x = {0.2222222222, -1.333333333}

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