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Simplifying y2 + y2 + 4y + 4 + -100 = 0 Reorder the terms: 4 + -100 + 4y + y2 + y2 = 0 Combine like terms: 4 + -100 = -96 -96 + 4y + y2 + y2 = 0 Combine like terms: y2 + y2 = 2y2 -96 + 4y + 2y2 = 0 Solving -96 + 4y + 2y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2'. 2(-48 + 2y + y2) = 0 Factor a trinomial. 2((-8 + -1y)(6 + -1y)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-8 + -1y)' equal to zero and attempt to solve: Simplifying -8 + -1y = 0 Solving -8 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1y = 0 + 8 -1y = 0 + 8 Combine like terms: 0 + 8 = 8 -1y = 8 Divide each side by '-1'. y = -8 Simplifying y = -8Subproblem 2
Set the factor '(6 + -1y)' equal to zero and attempt to solve: Simplifying 6 + -1y = 0 Solving 6 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1y = 0 + -6 -1y = 0 + -6 Combine like terms: 0 + -6 = -6 -1y = -6 Divide each side by '-1'. y = 6 Simplifying y = 6Solution
y = {-8, 6}
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