(3d-8)(3d-8)=0

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Solution for (3d-8)(3d-8)=0 equation:


Simplifying
(3d + -8)(3d + -8) = 0

Reorder the terms:
(-8 + 3d)(3d + -8) = 0

Reorder the terms:
(-8 + 3d)(-8 + 3d) = 0

Multiply (-8 + 3d) * (-8 + 3d)
(-8(-8 + 3d) + 3d * (-8 + 3d)) = 0
((-8 * -8 + 3d * -8) + 3d * (-8 + 3d)) = 0
((64 + -24d) + 3d * (-8 + 3d)) = 0
(64 + -24d + (-8 * 3d + 3d * 3d)) = 0
(64 + -24d + (-24d + 9d2)) = 0

Combine like terms: -24d + -24d = -48d
(64 + -48d + 9d2) = 0

Solving
64 + -48d + 9d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(8 + -3d)(8 + -3d) = 0

Subproblem 1

Set the factor '(8 + -3d)' equal to zero and attempt to solve: Simplifying 8 + -3d = 0 Solving 8 + -3d = 0 Move all terms containing d to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -3d = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3d = 0 + -8 -3d = 0 + -8 Combine like terms: 0 + -8 = -8 -3d = -8 Divide each side by '-3'. d = 2.666666667 Simplifying d = 2.666666667

Subproblem 2

Set the factor '(8 + -3d)' equal to zero and attempt to solve: Simplifying 8 + -3d = 0 Solving 8 + -3d = 0 Move all terms containing d to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -3d = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3d = 0 + -8 -3d = 0 + -8 Combine like terms: 0 + -8 = -8 -3d = -8 Divide each side by '-3'. d = 2.666666667 Simplifying d = 2.666666667

Solution

d = {2.666666667, 2.666666667}

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