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Simplifying 5y9 + -40y8 + -420y7 = 0 Reorder the terms: -420y7 + -40y8 + 5y9 = 0 Solving -420y7 + -40y8 + 5y9 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '5y7'. 5y7(-84 + -8y + y2) = 0 Factor a trinomial. 5y7((-6 + -1y)(14 + -1y)) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'y7' equal to zero and attempt to solve: Simplifying y7 = 0 Solving y7 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y7 = 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 '(-6 + -1y)' equal to zero and attempt to solve: Simplifying -6 + -1y = 0 Solving -6 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1y = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1y = 0 + 6 -1y = 0 + 6 Combine like terms: 0 + 6 = 6 -1y = 6 Divide each side by '-1'. y = -6 Simplifying y = -6Subproblem 3
Set the factor '(14 + -1y)' equal to zero and attempt to solve: Simplifying 14 + -1y = 0 Solving 14 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1y = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1y = 0 + -14 -1y = 0 + -14 Combine like terms: 0 + -14 = -14 -1y = -14 Divide each side by '-1'. y = 14 Simplifying y = 14Solution
y = {-6, 14}
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