15y^7+21y^6-18y^5=0

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Solution for 15y^7+21y^6-18y^5=0 equation:


Simplifying
15y7 + 21y6 + -18y5 = 0

Reorder the terms:
-18y5 + 21y6 + 15y7 = 0

Solving
-18y5 + 21y6 + 15y7 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '3y5'.
3y5(-6 + 7y + 5y2) = 0

Factor a trinomial.
3y5((-2 + -1y)(3 + -5y)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'y5' equal to zero and attempt to solve: Simplifying y5 = 0 Solving y5 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y5 = 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 '(-2 + -1y)' equal to zero and attempt to solve: Simplifying -2 + -1y = 0 Solving -2 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1y = 0 + 2 -1y = 0 + 2 Combine like terms: 0 + 2 = 2 -1y = 2 Divide each side by '-1'. y = -2 Simplifying y = -2

Subproblem 3

Set the factor '(3 + -5y)' equal to zero and attempt to solve: Simplifying 3 + -5y = 0 Solving 3 + -5y = 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 + -5y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5y = 0 + -3 -5y = 0 + -3 Combine like terms: 0 + -3 = -3 -5y = -3 Divide each side by '-5'. y = 0.6 Simplifying y = 0.6

Solution

y = {-2, 0.6}

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