6y^5=-y^4

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Solution for 6y^5=-y^4 equation:


Simplifying
6y5 = -1y4

Solving
6y5 = -1y4

Solving for variable 'y'.

Reorder the terms:
y4 + 6y5 = -1y4 + y4

Combine like terms: -1y4 + y4 = 0
y4 + 6y5 = 0

Factor out the Greatest Common Factor (GCF), 'y4'.
y4(1 + 6y) = 0

Subproblem 1

Set the factor 'y4' equal to zero and attempt to solve: Simplifying y4 = 0 Solving y4 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y4 = 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 '(1 + 6y)' equal to zero and attempt to solve: Simplifying 1 + 6y = 0 Solving 1 + 6y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 6y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 6y = 0 + -1 6y = 0 + -1 Combine like terms: 0 + -1 = -1 6y = -1 Divide each side by '6'. y = -0.1666666667 Simplifying y = -0.1666666667

Solution

y = {-0.1666666667}

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