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Simplifying 2y2 = 2piy Solving 2y2 = 2ipy Solving for variable 'y'. Reorder the terms: -2ipy + 2y2 = 2ipy + -2ipy Combine like terms: 2ipy + -2ipy = 0 -2ipy + 2y2 = 0 Factor out the Greatest Common Factor (GCF), '2y'. 2y(-1ip + y) = 0 Ignore the factor 2.Subproblem 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 '(-1ip + y)' equal to zero and attempt to solve: Simplifying -1ip + y = 0 Solving -1ip + y = 0 Move all terms containing y to the left, all other terms to the right. Add 'ip' to each side of the equation. -1ip + ip + y = 0 + ip Combine like terms: -1ip + ip = 0 0 + y = 0 + ip y = 0 + ip Remove the zero: y = ip Simplifying y = ipSolution
y = {0, ip}
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