20y^3+45y=0

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Solution for 20y^3+45y=0 equation:


Simplifying
20y3 + 45y = 0

Reorder the terms:
45y + 20y3 = 0

Solving
45y + 20y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '5y'.
5y(9 + 4y2) = 0

Ignore the factor 5.

Subproblem 1

Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y = 0

Subproblem 2

Set the factor '(9 + 4y2)' equal to zero and attempt to solve: Simplifying 9 + 4y2 = 0 Solving 9 + 4y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 4y2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4y2 = 0 + -9 4y2 = 0 + -9 Combine like terms: 0 + -9 = -9 4y2 = -9 Divide each side by '4'. y2 = -2.25 Simplifying y2 = -2.25 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

y = {0}

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