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Simplifying 0 = 35y3 + -235y2 + -70y Reorder the terms: 0 = -70y + -235y2 + 35y3 Solving 0 = -70y + -235y2 + 35y3 Solving for variable 'y'. Remove the zero: 70y + 235y2 + -35y3 = -70y + -235y2 + 35y3 + 70y + 235y2 + -35y3 Reorder the terms: 70y + 235y2 + -35y3 = -70y + 70y + -235y2 + 235y2 + 35y3 + -35y3 Combine like terms: -70y + 70y = 0 70y + 235y2 + -35y3 = 0 + -235y2 + 235y2 + 35y3 + -35y3 70y + 235y2 + -35y3 = -235y2 + 235y2 + 35y3 + -35y3 Combine like terms: -235y2 + 235y2 = 0 70y + 235y2 + -35y3 = 0 + 35y3 + -35y3 70y + 235y2 + -35y3 = 35y3 + -35y3 Combine like terms: 35y3 + -35y3 = 0 70y + 235y2 + -35y3 = 0 Factor out the Greatest Common Factor (GCF), '5y'. 5y(14 + 47y + -7y2) = 0 Factor a trinomial. 5y((7 + -1y)(2 + 7y)) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y = 0Subproblem 2
Set the factor '(7 + -1y)' equal to zero and attempt to solve: Simplifying 7 + -1y = 0 Solving 7 + -1y = 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 + -1y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1y = 0 + -7 -1y = 0 + -7 Combine like terms: 0 + -7 = -7 -1y = -7 Divide each side by '-1'. y = 7 Simplifying y = 7Subproblem 3
Set the factor '(2 + 7y)' equal to zero and attempt to solve: Simplifying 2 + 7y = 0 Solving 2 + 7y = 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 + 7y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7y = 0 + -2 7y = 0 + -2 Combine like terms: 0 + -2 = -2 7y = -2 Divide each side by '7'. y = -0.2857142857 Simplifying y = -0.2857142857Solution
y = {0, 7, -0.2857142857}
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