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Simplifying 3y3 + 9y + -162y = 0 Reorder the terms: 9y + -162y + 3y3 = 0 Combine like terms: 9y + -162y = -153y -153y + 3y3 = 0 Solving -153y + 3y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '3y'. 3y(-51 + y2) = 0 Ignore the factor 3.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 '(-51 + y2)' equal to zero and attempt to solve: Simplifying -51 + y2 = 0 Solving -51 + y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '51' to each side of the equation. -51 + 51 + y2 = 0 + 51 Combine like terms: -51 + 51 = 0 0 + y2 = 0 + 51 y2 = 0 + 51 Combine like terms: 0 + 51 = 51 y2 = 51 Simplifying y2 = 51 Take the square root of each side: y = {-7.141428429, 7.141428429}Solution
y = {0, -7.141428429, 7.141428429}
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