(9x-4)(3x+6)=

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Solution for (9x-4)(3x+6)= equation: 


Simplifying
(9x + -4)(3x + 6) = 0

Reorder the terms:
(-4 + 9x)(3x + 6) = 0

Reorder the terms:
(-4 + 9x)(6 + 3x) = 0

Multiply (-4 + 9x) * (6 + 3x)
(-4(6 + 3x) + 9x * (6 + 3x)) = 0
((6 * -4 + 3x * -4) + 9x * (6 + 3x)) = 0
((-24 + -12x) + 9x * (6 + 3x)) = 0
(-24 + -12x + (6 * 9x + 3x * 9x)) = 0
(-24 + -12x + (54x + 27x2)) = 0

Combine like terms: -12x + 54x = 42x
(-24 + 42x + 27x2) = 0

Solving
-24 + 42x + 27x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-8 + 14x + 9x2) = 0

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

Ignore the factor 3.

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

Simplifying
-2 + -1x = 0

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

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

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

Divide each side by '-1'.
x = -2

Simplifying
x = -2

Subproblem 2
Set the factor '(4 + -9x)' equal to zero and attempt to solve:

Simplifying
4 + -9x = 0

Solving
4 + -9x = 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 + -9x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -9x = 0 + -4
-9x = 0 + -4

Combine like terms: 0 + -4 = -4
-9x = -4

Divide each side by '-9'.
x = 0.4444444444

Simplifying
x = 0.4444444444
Solution
x = {-2, 0.4444444444}

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