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Simplifying -9y5(2y2 + -9y + 7) = 0 Reorder the terms: -9y5(7 + -9y + 2y2) = 0 (7 * -9y5 + -9y * -9y5 + 2y2 * -9y5) = 0 (-63y5 + 81y6 + -18y7) = 0 Solving -63y5 + 81y6 + -18y7 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '9y5'. 9y5(-7 + 9y + -2y2) = 0 Factor a trinomial. 9y5((-7 + 2y)(1 + -1y)) = 0 Ignore the factor 9.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 '(-7 + 2y)' equal to zero and attempt to solve: Simplifying -7 + 2y = 0 Solving -7 + 2y = 0 Move all terms containing y to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 2y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 2y = 0 + 7 2y = 0 + 7 Combine like terms: 0 + 7 = 7 2y = 7 Divide each side by '2'. y = 3.5 Simplifying y = 3.5Subproblem 3
Set the factor '(1 + -1y)' equal to zero and attempt to solve: Simplifying 1 + -1y = 0 Solving 1 + -1y = 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 + -1y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1y = 0 + -1 -1y = 0 + -1 Combine like terms: 0 + -1 = -1 -1y = -1 Divide each side by '-1'. y = 1 Simplifying y = 1Solution
y = {3.5, 1}
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