7y^6-35y^5=8y^6

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Solution for 7y^6-35y^5=8y^6 equation:


Simplifying
7y6 + -35y5 = 8y6

Reorder the terms:
-35y5 + 7y6 = 8y6

Solving
-35y5 + 7y6 = 8y6

Solving for variable 'y'.

Combine like terms: 7y6 + -8y6 = -1y6
-35y5 + -1y6 = 8y6 + -8y6

Combine like terms: 8y6 + -8y6 = 0
-35y5 + -1y6 = 0

Factor out the Greatest Common Factor (GCF), '-1y5'.
-1y5(35 + y) = 0

Ignore the factor -1.

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 '(35 + y)' equal to zero and attempt to solve: Simplifying 35 + y = 0 Solving 35 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + y = 0 + -35 Combine like terms: 35 + -35 = 0 0 + y = 0 + -35 y = 0 + -35 Combine like terms: 0 + -35 = -35 y = -35 Simplifying y = -35

Solution

y = {-35}

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