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

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


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