9d^2(3d-5)=0

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Solution for 9d^2(3d-5)=0 equation:


Simplifying
9d2(3d + -5) = 0

Reorder the terms:
9d2(-5 + 3d) = 0
(-5 * 9d2 + 3d * 9d2) = 0
(-45d2 + 27d3) = 0

Solving
-45d2 + 27d3 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '9d2'.
9d2(-5 + 3d) = 0

Ignore the factor 9.

Subproblem 1

Set the factor 'd2' equal to zero and attempt to solve: Simplifying d2 = 0 Solving d2 = 0 Move all terms containing d to the left, all other terms to the right. Simplifying d2 = 0 Take the square root of each side: d = {0}

Subproblem 2

Set the factor '(-5 + 3d)' equal to zero and attempt to solve: Simplifying -5 + 3d = 0 Solving -5 + 3d = 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 + 3d = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 3d = 0 + 5 3d = 0 + 5 Combine like terms: 0 + 5 = 5 3d = 5 Divide each side by '3'. d = 1.666666667 Simplifying d = 1.666666667

Solution

d = {0, 1.666666667}

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