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Simplifying 0 = y2 + 8y + 7 Reorder the terms: 0 = 7 + 8y + y2 Solving 0 = 7 + 8y + y2 Solving for variable 'y'. Combine like terms: 0 + -7 = -7 -7 + -8y + -1y2 = 7 + 8y + y2 + -7 + -8y + -1y2 Reorder the terms: -7 + -8y + -1y2 = 7 + -7 + 8y + -8y + y2 + -1y2 Combine like terms: 7 + -7 = 0 -7 + -8y + -1y2 = 0 + 8y + -8y + y2 + -1y2 -7 + -8y + -1y2 = 8y + -8y + y2 + -1y2 Combine like terms: 8y + -8y = 0 -7 + -8y + -1y2 = 0 + y2 + -1y2 -7 + -8y + -1y2 = y2 + -1y2 Combine like terms: y2 + -1y2 = 0 -7 + -8y + -1y2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(7 + 8y + y2) = 0 Factor a trinomial. -1((7 + y)(1 + y)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(7 + y)' equal to zero and attempt to solve: Simplifying 7 + y = 0 Solving 7 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + y = 0 + -7 y = 0 + -7 Combine like terms: 0 + -7 = -7 y = -7 Simplifying y = -7Subproblem 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 = {-7, -1}
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