(5x+9)(4x+3)=

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Solution for (5x+9)(4x+3)= equation:


Simplifying
(5x + 9)(4x + 3) = 0

Reorder the terms:
(9 + 5x)(4x + 3) = 0

Reorder the terms:
(9 + 5x)(3 + 4x) = 0

Multiply (9 + 5x) * (3 + 4x)
(9(3 + 4x) + 5x * (3 + 4x)) = 0
((3 * 9 + 4x * 9) + 5x * (3 + 4x)) = 0
((27 + 36x) + 5x * (3 + 4x)) = 0
(27 + 36x + (3 * 5x + 4x * 5x)) = 0
(27 + 36x + (15x + 20x2)) = 0

Combine like terms: 36x + 15x = 51x
(27 + 51x + 20x2) = 0

Solving
27 + 51x + 20x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(9 + 5x)(3 + 4x) = 0

Subproblem 1

Set the factor '(9 + 5x)' equal to zero and attempt to solve: Simplifying 9 + 5x = 0 Solving 9 + 5x = 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 + 5x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 5x = 0 + -9 5x = 0 + -9 Combine like terms: 0 + -9 = -9 5x = -9 Divide each side by '5'. x = -1.8 Simplifying x = -1.8

Subproblem 2

Set the factor '(3 + 4x)' equal to zero and attempt to solve: Simplifying 3 + 4x = 0 Solving 3 + 4x = 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 + 4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 0 + -3 4x = 0 + -3 Combine like terms: 0 + -3 = -3 4x = -3 Divide each side by '4'. x = -0.75 Simplifying x = -0.75

Solution

x = {-1.8, -0.75}

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