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Simplifying 5y8 + -30y7 + -675y6 = 0 Reorder the terms: -675y6 + -30y7 + 5y8 = 0 Solving -675y6 + -30y7 + 5y8 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '5y6'. 5y6(-135 + -6y + y2) = 0 Factor a trinomial. 5y6((-9 + -1y)(15 + -1y)) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'y6' equal to zero and attempt to solve: Simplifying y6 = 0 Solving y6 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y6 = 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 '(-9 + -1y)' equal to zero and attempt to solve: Simplifying -9 + -1y = 0 Solving -9 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1y = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1y = 0 + 9 -1y = 0 + 9 Combine like terms: 0 + 9 = 9 -1y = 9 Divide each side by '-1'. y = -9 Simplifying y = -9Subproblem 3
Set the factor '(15 + -1y)' equal to zero and attempt to solve: Simplifying 15 + -1y = 0 Solving 15 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1y = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1y = 0 + -15 -1y = 0 + -15 Combine like terms: 0 + -15 = -15 -1y = -15 Divide each side by '-1'. y = 15 Simplifying y = 15Solution
y = {-9, 15}
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