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Simplifying y(7y2 + -20y + -3) = 0 Reorder the terms: y(-3 + -20y + 7y2) = 0 (-3 * y + -20y * y + 7y2 * y) = 0 (-3y + -20y2 + 7y3) = 0 Solving -3y + -20y2 + 7y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(-3 + -20y + 7y2) = 0 Factor a trinomial. y((-1 + -7y)(3 + -1y)) = 0Subproblem 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 '(-1 + -7y)' equal to zero and attempt to solve: Simplifying -1 + -7y = 0 Solving -1 + -7y = 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 + -7y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -7y = 0 + 1 -7y = 0 + 1 Combine like terms: 0 + 1 = 1 -7y = 1 Divide each side by '-7'. y = -0.1428571429 Simplifying y = -0.1428571429Subproblem 3
Set the factor '(3 + -1y)' equal to zero and attempt to solve: Simplifying 3 + -1y = 0 Solving 3 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1y = 0 + -3 -1y = 0 + -3 Combine like terms: 0 + -3 = -3 -1y = -3 Divide each side by '-1'. y = 3 Simplifying y = 3Solution
y = {0, -0.1428571429, 3}
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