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

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


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

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

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

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

Combine like terms: 8x + 27x = 35x
(36 + 35x + 6x2) = 0

Solving
36 + 35x + 6x2 = 0

Solving for variable 'x'.

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


Subproblem 1
Set the factor '(9 + 2x)' equal to zero and attempt to solve:

Simplifying
9 + 2x = 0

Solving
9 + 2x = 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 + 2x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 2x = 0 + -9
2x = 0 + -9

Combine like terms: 0 + -9 = -9
2x = -9

Divide each side by '2'.
x = -4.5

Simplifying
x = -4.5

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 = {-4.5, -1.333333333}

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