6y^5+10y^2=

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Solution for 6y^5+10y^2= equation:


Simplifying
6y5 + 10y2 = 0

Reorder the terms:
10y2 + 6y5 = 0

Solving
10y2 + 6y5 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2y2'.
2y2(5 + 3y3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'y2' equal to zero and attempt to solve: Simplifying y2 = 0 Solving y2 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y2 = 0 Take the square root of each side: y = {0}

Subproblem 2

Set the factor '(5 + 3y3)' equal to zero and attempt to solve: Simplifying 5 + 3y3 = 0 Solving 5 + 3y3 = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3y3 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3y3 = 0 + -5 3y3 = 0 + -5 Combine like terms: 0 + -5 = -5 3y3 = -5 Divide each side by '3'. y3 = -1.666666667 Simplifying y3 = -1.666666667 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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