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Simplifying 10y3 + -12y = 7y2 Reorder the terms: -12y + 10y3 = 7y2 Solving -12y + 10y3 = 7y2 Solving for variable 'y'. Reorder the terms: -12y + -7y2 + 10y3 = 7y2 + -7y2 Combine like terms: 7y2 + -7y2 = 0 -12y + -7y2 + 10y3 = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(-12 + -7y + 10y2) = 0 Factor a trinomial. y((-4 + -5y)(3 + -2y)) = 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 '(-4 + -5y)' equal to zero and attempt to solve: Simplifying -4 + -5y = 0 Solving -4 + -5y = 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 + -5y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -5y = 0 + 4 -5y = 0 + 4 Combine like terms: 0 + 4 = 4 -5y = 4 Divide each side by '-5'. y = -0.8 Simplifying y = -0.8Subproblem 3
Set the factor '(3 + -2y)' equal to zero and attempt to solve: Simplifying 3 + -2y = 0 Solving 3 + -2y = 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 + -2y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2y = 0 + -3 -2y = 0 + -3 Combine like terms: 0 + -3 = -3 -2y = -3 Divide each side by '-2'. y = 1.5 Simplifying y = 1.5Solution
y = {0, -0.8, 1.5}
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