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Simplifying 5y3 + -9y2 + -126y = 0 Reorder the terms: -126y + -9y2 + 5y3 = 0 Solving -126y + -9y2 + 5y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(-126 + -9y + 5y2) = 0 Factor a trinomial. y((-21 + -5y)(6 + -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 '(-21 + -5y)' equal to zero and attempt to solve: Simplifying -21 + -5y = 0 Solving -21 + -5y = 0 Move all terms containing y to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -5y = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -5y = 0 + 21 -5y = 0 + 21 Combine like terms: 0 + 21 = 21 -5y = 21 Divide each side by '-5'. y = -4.2 Simplifying y = -4.2Subproblem 3
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 = 6Solution
y = {0, -4.2, 6}
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