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Simplifying 0 = y2 + 10y + 9 Reorder the terms: 0 = 9 + 10y + y2 Solving 0 = 9 + 10y + y2 Solving for variable 'y'. Combine like terms: 0 + -9 = -9 -9 + -10y + -1y2 = 9 + 10y + y2 + -9 + -10y + -1y2 Reorder the terms: -9 + -10y + -1y2 = 9 + -9 + 10y + -10y + y2 + -1y2 Combine like terms: 9 + -9 = 0 -9 + -10y + -1y2 = 0 + 10y + -10y + y2 + -1y2 -9 + -10y + -1y2 = 10y + -10y + y2 + -1y2 Combine like terms: 10y + -10y = 0 -9 + -10y + -1y2 = 0 + y2 + -1y2 -9 + -10y + -1y2 = y2 + -1y2 Combine like terms: y2 + -1y2 = 0 -9 + -10y + -1y2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(9 + 10y + y2) = 0 Factor a trinomial. -1((9 + y)(1 + y)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(9 + y)' equal to zero and attempt to solve: Simplifying 9 + y = 0 Solving 9 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + y = 0 + -9 y = 0 + -9 Combine like terms: 0 + -9 = -9 y = -9 Simplifying y = -9Subproblem 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 = {-9, -1}
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