24y^3=18y^5

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Solution for 24y^3=18y^5 equation:


Simplifying
24y3 = 18y5

Solving
24y3 = 18y5

Solving for variable 'y'.

Combine like terms: 18y5 + -18y5 = 0
24y3 + -18y5 = 0

Factor out the Greatest Common Factor (GCF), '6y3'.
6y3(4 + -3y2) = 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 '(4 + -3y2)' equal to zero and attempt to solve: Simplifying 4 + -3y2 = 0 Solving 4 + -3y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3y2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3y2 = 0 + -4 -3y2 = 0 + -4 Combine like terms: 0 + -4 = -4 -3y2 = -4 Divide each side by '-3'. y2 = 1.333333333 Simplifying y2 = 1.333333333 Take the square root of each side: y = {-1.154700538, 1.154700538}

Solution

y = {-1.154700538, 1.154700538}

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