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Simplifying (2y2) + -1(4y3) + -1(4y2) + (6y3) = 0 Remove parenthesis around (4y3) (2y2) + -1 * 4y3 + -1(4y2) + (6y3) = 0 Multiply -1 * 4 (2y2) + -4y3 + -1(4y2) + (6y3) = 0 Remove parenthesis around (4y2) (2y2) + -4y3 + -1 * 4y2 + (6y3) = 0 Multiply -1 * 4 (2y2) + -4y3 + -4y2 + (6y3) = 0 Reorder the terms: (2y2) + -4y2 + -4y3 + (6y3) = 0 Combine like terms: (2y2) + -4y2 = -2y2 -2y2 + -4y3 + (6y3) = 0 Combine like terms: -4y3 + (6y3) = 2y3 -2y2 + 2y3 = 0 Solving -2y2 + 2y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2y2'. 2y2(-1 + y) = 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 + y)' equal to zero and attempt to solve: Simplifying -1 + y = 0 Solving -1 + y = 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 + y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + y = 0 + 1 y = 0 + 1 Combine like terms: 0 + 1 = 1 y = 1 Simplifying y = 1Solution
y = {0, 1}
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