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

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


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

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

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

Multiply (2 + 3x) * (9 + 4x)
(2(9 + 4x) + 3x * (9 + 4x)) = 0
((9 * 2 + 4x * 2) + 3x * (9 + 4x)) = 0
((18 + 8x) + 3x * (9 + 4x)) = 0
(18 + 8x + (9 * 3x + 4x * 3x)) = 0
(18 + 8x + (27x + 12x2)) = 0

Combine like terms: 8x + 27x = 35x
(18 + 35x + 12x2) = 0

Solving
18 + 35x + 12x2 = 0

Solving for variable 'x'.

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


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 + 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 = {-2.25, -0.6666666667}

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