6x(4x+3)+5(4x+3)=

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Solution for 6x(4x+3)+5(4x+3)= equation:


Simplifying
6x(4x + 3) + 5(4x + 3) = 0

Reorder the terms:
6x(3 + 4x) + 5(4x + 3) = 0
(3 * 6x + 4x * 6x) + 5(4x + 3) = 0
(18x + 24x2) + 5(4x + 3) = 0

Reorder the terms:
18x + 24x2 + 5(3 + 4x) = 0
18x + 24x2 + (3 * 5 + 4x * 5) = 0
18x + 24x2 + (15 + 20x) = 0

Reorder the terms:
15 + 18x + 20x + 24x2 = 0

Combine like terms: 18x + 20x = 38x
15 + 38x + 24x2 = 0

Solving
15 + 38x + 24x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5 + 6x)(3 + 4x) = 0

Subproblem 1

Set the factor '(5 + 6x)' equal to zero and attempt to solve: Simplifying 5 + 6x = 0 Solving 5 + 6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 6x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6x = 0 + -5 6x = 0 + -5 Combine like terms: 0 + -5 = -5 6x = -5 Divide each side by '6'. x = -0.8333333333 Simplifying x = -0.8333333333

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 = {-0.8333333333, -0.75}

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