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Simplifying 0 = 3y2 + 48y + 45 Reorder the terms: 0 = 45 + 48y + 3y2 Solving 0 = 45 + 48y + 3y2 Solving for variable 'y'. Combine like terms: 0 + -45 = -45 -45 + -48y + -3y2 = 45 + 48y + 3y2 + -45 + -48y + -3y2 Reorder the terms: -45 + -48y + -3y2 = 45 + -45 + 48y + -48y + 3y2 + -3y2 Combine like terms: 45 + -45 = 0 -45 + -48y + -3y2 = 0 + 48y + -48y + 3y2 + -3y2 -45 + -48y + -3y2 = 48y + -48y + 3y2 + -3y2 Combine like terms: 48y + -48y = 0 -45 + -48y + -3y2 = 0 + 3y2 + -3y2 -45 + -48y + -3y2 = 3y2 + -3y2 Combine like terms: 3y2 + -3y2 = 0 -45 + -48y + -3y2 = 0 Factor out the Greatest Common Factor (GCF), '-3'. -3(15 + 16y + y2) = 0 Factor a trinomial. -3((15 + y)(1 + y)) = 0 Ignore the factor -3.Subproblem 1
Set the factor '(15 + y)' equal to zero and attempt to solve: Simplifying 15 + y = 0 Solving 15 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + y = 0 + -15 Combine like terms: 15 + -15 = 0 0 + y = 0 + -15 y = 0 + -15 Combine like terms: 0 + -15 = -15 y = -15 Simplifying y = -15Subproblem 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 = {-15, -1}
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