18y^3=12y^5

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Solution for 18y^3=12y^5 equation:


Simplifying
18y3 = 12y5

Solving
18y3 = 12y5

Solving for variable 'y'.

Combine like terms: 12y5 + -12y5 = 0
18y3 + -12y5 = 0

Factor out the Greatest Common Factor (GCF), '6y3'.
6y3(3 + -2y2) = 0

Ignore the factor 6.

Subproblem 1

Set the factor 'y3' equal to zero and attempt to solve: Simplifying y3 = 0 Solving y3 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(3 + -2y2)' equal to zero and attempt to solve: Simplifying 3 + -2y2 = 0 Solving 3 + -2y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2y2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2y2 = 0 + -3 -2y2 = 0 + -3 Combine like terms: 0 + -3 = -3 -2y2 = -3 Divide each side by '-2'. y2 = 1.5 Simplifying y2 = 1.5 Take the square root of each side: y = {-1.224744871, 1.224744871}

Solution

y = {-1.224744871, 1.224744871}

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