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Simplifying 4y2 + 8y = -4 Reorder the terms: 8y + 4y2 = -4 Solving 8y + 4y2 = -4 Solving for variable 'y'. Reorder the terms: 4 + 8y + 4y2 = -4 + 4 Combine like terms: -4 + 4 = 0 4 + 8y + 4y2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(1 + 2y + y2) = 0 Factor a trinomial. 4((1 + y)(1 + y)) = 0 Ignore the factor 4.Subproblem 1
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 = -1Subproblem 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 = {-1, -1}
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