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Simplifying 6y3 + 4y2 = 5y2 + 5y Reorder the terms: 4y2 + 6y3 = 5y2 + 5y Reorder the terms: 4y2 + 6y3 = 5y + 5y2 Solving 4y2 + 6y3 = 5y + 5y2 Solving for variable 'y'. Reorder the terms: -5y + 4y2 + -5y2 + 6y3 = 5y + 5y2 + -5y + -5y2 Combine like terms: 4y2 + -5y2 = -1y2 -5y + -1y2 + 6y3 = 5y + 5y2 + -5y + -5y2 Reorder the terms: -5y + -1y2 + 6y3 = 5y + -5y + 5y2 + -5y2 Combine like terms: 5y + -5y = 0 -5y + -1y2 + 6y3 = 0 + 5y2 + -5y2 -5y + -1y2 + 6y3 = 5y2 + -5y2 Combine like terms: 5y2 + -5y2 = 0 -5y + -1y2 + 6y3 = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(-5 + -1y + 6y2) = 0 Factor a trinomial. y((-5 + -6y)(1 + -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 '(-5 + -6y)' equal to zero and attempt to solve: Simplifying -5 + -6y = 0 Solving -5 + -6y = 0 Move all terms containing y to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -6y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -6y = 0 + 5 -6y = 0 + 5 Combine like terms: 0 + 5 = 5 -6y = 5 Divide each side by '-6'. y = -0.8333333333 Simplifying y = -0.8333333333Subproblem 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 = {0, -0.8333333333, 1}
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