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

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


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

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

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

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

Combine like terms: 27x + -24x = 3x
(-54 + 3x + 12x2) = 0

Solving
-54 + 3x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-18 + x + 4x2) = 0

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

Ignore the factor 3.

Subproblem 1
Set the factor '(-9 + -4x)' equal to zero and attempt to solve:

Simplifying
-9 + -4x = 0

Solving
-9 + -4x = 0

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

Add '9' to each side of the equation.
-9 + 9 + -4x = 0 + 9

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

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

Divide each side by '-4'.
x = -2.25

Simplifying
x = -2.25

Subproblem 2
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
Solution
x = {-2.25, 2}

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