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Simplifying 2y3 + -90y2 + -392y = 0 Reorder the terms: -392y + -90y2 + 2y3 = 0 Solving -392y + -90y2 + 2y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2y'. 2y(-196 + -45y + y2) = 0 Factor a trinomial. 2y((-4 + -1y)(49 + -1y)) = 0 Ignore the factor 2.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 '(-4 + -1y)' equal to zero and attempt to solve: Simplifying -4 + -1y = 0 Solving -4 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1y = 0 + 4 -1y = 0 + 4 Combine like terms: 0 + 4 = 4 -1y = 4 Divide each side by '-1'. y = -4 Simplifying y = -4Subproblem 3
Set the factor '(49 + -1y)' equal to zero and attempt to solve: Simplifying 49 + -1y = 0 Solving 49 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + -1y = 0 + -49 Combine like terms: 49 + -49 = 0 0 + -1y = 0 + -49 -1y = 0 + -49 Combine like terms: 0 + -49 = -49 -1y = -49 Divide each side by '-1'. y = 49 Simplifying y = 49Solution
y = {0, -4, 49}
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