(5d+3)(3d+2)=0

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Solution for (5d+3)(3d+2)=0 equation:


Simplifying
(5d + 3)(3d + 2) = 0

Reorder the terms:
(3 + 5d)(3d + 2) = 0

Reorder the terms:
(3 + 5d)(2 + 3d) = 0

Multiply (3 + 5d) * (2 + 3d)
(3(2 + 3d) + 5d * (2 + 3d)) = 0
((2 * 3 + 3d * 3) + 5d * (2 + 3d)) = 0
((6 + 9d) + 5d * (2 + 3d)) = 0
(6 + 9d + (2 * 5d + 3d * 5d)) = 0
(6 + 9d + (10d + 15d2)) = 0

Combine like terms: 9d + 10d = 19d
(6 + 19d + 15d2) = 0

Solving
6 + 19d + 15d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(2 + 3d)(3 + 5d) = 0

Subproblem 1

Set the factor '(2 + 3d)' equal to zero and attempt to solve: Simplifying 2 + 3d = 0 Solving 2 + 3d = 0 Move all terms containing d to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3d = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3d = 0 + -2 3d = 0 + -2 Combine like terms: 0 + -2 = -2 3d = -2 Divide each side by '3'. d = -0.6666666667 Simplifying d = -0.6666666667

Subproblem 2

Set the factor '(3 + 5d)' equal to zero and attempt to solve: Simplifying 3 + 5d = 0 Solving 3 + 5d = 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 + 5d = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5d = 0 + -3 5d = 0 + -3 Combine like terms: 0 + -3 = -3 5d = -3 Divide each side by '5'. d = -0.6 Simplifying d = -0.6

Solution

d = {-0.6666666667, -0.6}

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