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Simplifying 0 = 4y3 + -2y2 Reorder the terms: 0 = -2y2 + 4y3 Solving 0 = -2y2 + 4y3 Solving for variable 'y'. Remove the zero: 2y2 + -4y3 = -2y2 + 4y3 + 2y2 + -4y3 Reorder the terms: 2y2 + -4y3 = -2y2 + 2y2 + 4y3 + -4y3 Combine like terms: -2y2 + 2y2 = 0 2y2 + -4y3 = 0 + 4y3 + -4y3 2y2 + -4y3 = 4y3 + -4y3 Combine like terms: 4y3 + -4y3 = 0 2y2 + -4y3 = 0 Factor out the Greatest Common Factor (GCF), '2y2'. 2y2(1 + -2y) = 0 Ignore the factor 2.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 '(1 + -2y)' equal to zero and attempt to solve: Simplifying 1 + -2y = 0 Solving 1 + -2y = 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 + -2y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2y = 0 + -1 -2y = 0 + -1 Combine like terms: 0 + -1 = -1 -2y = -1 Divide each side by '-2'. y = 0.5 Simplifying y = 0.5Solution
y = {0, 0.5}
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