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Simplifying 4y3 + 48y2 = 4y2 Reorder the terms: 48y2 + 4y3 = 4y2 Solving 48y2 + 4y3 = 4y2 Solving for variable 'y'. Reorder the terms: 48y2 + -4y2 + 4y3 = 4y2 + -4y2 Combine like terms: 48y2 + -4y2 = 44y2 44y2 + 4y3 = 4y2 + -4y2 Combine like terms: 4y2 + -4y2 = 0 44y2 + 4y3 = 0 Factor out the Greatest Common Factor (GCF), '4y2'. 4y2(11 + y) = 0 Ignore the factor 4.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 '(11 + y)' equal to zero and attempt to solve: Simplifying 11 + y = 0 Solving 11 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + y = 0 + -11 Combine like terms: 11 + -11 = 0 0 + y = 0 + -11 y = 0 + -11 Combine like terms: 0 + -11 = -11 y = -11 Simplifying y = -11Solution
y = {0, -11}
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