(18x+27)(12-9x)=

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Solution for (18x+27)(12-9x)= equation: 


Simplifying
(18x + 27)(12 + -9x) = 0

Reorder the terms:
(27 + 18x)(12 + -9x) = 0

Multiply (27 + 18x) * (12 + -9x)
(27(12 + -9x) + 18x * (12 + -9x)) = 0
((12 * 27 + -9x * 27) + 18x * (12 + -9x)) = 0
((324 + -243x) + 18x * (12 + -9x)) = 0
(324 + -243x + (12 * 18x + -9x * 18x)) = 0
(324 + -243x + (216x + -162x2)) = 0

Combine like terms: -243x + 216x = -27x
(324 + -27x + -162x2) = 0

Solving
324 + -27x + -162x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '27'.
27(12 + -1x + -6x2) = 0

Factor a trinomial.
27((4 + -3x)(3 + 2x)) = 0

Ignore the factor 27.

Subproblem 1
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

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

Simplifying
3 + 2x = 0

Solving
3 + 2x = 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 + 2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = 0 + -3
2x = 0 + -3

Combine like terms: 0 + -3 = -3
2x = -3

Divide each side by '2'.
x = -1.5

Simplifying
x = -1.5
Solution
x = {1.333333333, -1.5}

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