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Simplifying 0 = 12y3 + 15y2 Reorder the terms: 0 = 15y2 + 12y3 Solving 0 = 15y2 + 12y3 Solving for variable 'y'. Remove the zero: -15y2 + -12y3 = 15y2 + 12y3 + -15y2 + -12y3 Reorder the terms: -15y2 + -12y3 = 15y2 + -15y2 + 12y3 + -12y3 Combine like terms: 15y2 + -15y2 = 0 -15y2 + -12y3 = 0 + 12y3 + -12y3 -15y2 + -12y3 = 12y3 + -12y3 Combine like terms: 12y3 + -12y3 = 0 -15y2 + -12y3 = 0 Factor out the Greatest Common Factor (GCF), '-3y2'. -3y2(5 + 4y) = 0 Ignore the factor -3.Subproblem 1
Set the factor 'y2' equal to zero and attempt to solve: Simplifying y2 = 0 Solving y2 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y2 = 0 Take the square root of each side: y = {0}Subproblem 2
Set the factor '(5 + 4y)' equal to zero and attempt to solve: Simplifying 5 + 4y = 0 Solving 5 + 4y = 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 + 4y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4y = 0 + -5 4y = 0 + -5 Combine like terms: 0 + -5 = -5 4y = -5 Divide each side by '4'. y = -1.25 Simplifying y = -1.25Solution
y = {0, -1.25}
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