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Simplifying 2y2 + -36y + 162y = 0 Reorder the terms: -36y + 162y + 2y2 = 0 Combine like terms: -36y + 162y = 126y 126y + 2y2 = 0 Solving 126y + 2y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2y'. 2y(63 + 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 '(63 + y)' equal to zero and attempt to solve: Simplifying 63 + y = 0 Solving 63 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-63' to each side of the equation. 63 + -63 + y = 0 + -63 Combine like terms: 63 + -63 = 0 0 + y = 0 + -63 y = 0 + -63 Combine like terms: 0 + -63 = -63 y = -63 Simplifying y = -63Solution
y = {0, -63}
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