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Simplifying 4y2 + -80y = -364 Reorder the terms: -80y + 4y2 = -364 Solving -80y + 4y2 = -364 Solving for variable 'y'. Reorder the terms: 364 + -80y + 4y2 = -364 + 364 Combine like terms: -364 + 364 = 0 364 + -80y + 4y2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(91 + -20y + y2) = 0 Factor a trinomial. 4((7 + -1y)(13 + -1y)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(7 + -1y)' equal to zero and attempt to solve: Simplifying 7 + -1y = 0 Solving 7 + -1y = 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 + -1y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1y = 0 + -7 -1y = 0 + -7 Combine like terms: 0 + -7 = -7 -1y = -7 Divide each side by '-1'. y = 7 Simplifying y = 7Subproblem 2
Set the factor '(13 + -1y)' equal to zero and attempt to solve: Simplifying 13 + -1y = 0 Solving 13 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1y = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1y = 0 + -13 -1y = 0 + -13 Combine like terms: 0 + -13 = -13 -1y = -13 Divide each side by '-1'. y = 13 Simplifying y = 13Solution
y = {7, 13}
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