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

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


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

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

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

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

Combine like terms: 27x + 8x = 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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