(6d+5)(4d+3)=0

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Solution for (6d+5)(4d+3)=0 equation:


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

Reorder the terms:
(5 + 6d)(4d + 3) = 0

Reorder the terms:
(5 + 6d)(3 + 4d) = 0

Multiply (5 + 6d) * (3 + 4d)
(5(3 + 4d) + 6d * (3 + 4d)) = 0
((3 * 5 + 4d * 5) + 6d * (3 + 4d)) = 0
((15 + 20d) + 6d * (3 + 4d)) = 0
(15 + 20d + (3 * 6d + 4d * 6d)) = 0
(15 + 20d + (18d + 24d2)) = 0

Combine like terms: 20d + 18d = 38d
(15 + 38d + 24d2) = 0

Solving
15 + 38d + 24d2 = 0

Solving for variable 'd'.

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

Subproblem 1

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

Subproblem 2

Set the factor '(3 + 4d)' equal to zero and attempt to solve: Simplifying 3 + 4d = 0 Solving 3 + 4d = 0 Move all terms containing d to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 4d = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4d = 0 + -3 4d = 0 + -3 Combine like terms: 0 + -3 = -3 4d = -3 Divide each side by '4'. d = -0.75 Simplifying d = -0.75

Solution

d = {-0.8333333333, -0.75}

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