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Simplifying 5(5y2 + -42y + 88) = 0 Reorder the terms: 5(88 + -42y + 5y2) = 0 (88 * 5 + -42y * 5 + 5y2 * 5) = 0 (440 + -210y + 25y2) = 0 Solving 440 + -210y + 25y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '5'. 5(88 + -42y + 5y2) = 0 Factor a trinomial. 5((4 + -1y)(22 + -5y)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(4 + -1y)' equal to zero and attempt to solve: Simplifying 4 + -1y = 0 Solving 4 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1y = 0 + -4 -1y = 0 + -4 Combine like terms: 0 + -4 = -4 -1y = -4 Divide each side by '-1'. y = 4 Simplifying y = 4Subproblem 2
Set the factor '(22 + -5y)' equal to zero and attempt to solve: Simplifying 22 + -5y = 0 Solving 22 + -5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -5y = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -5y = 0 + -22 -5y = 0 + -22 Combine like terms: 0 + -22 = -22 -5y = -22 Divide each side by '-5'. y = 4.4 Simplifying y = 4.4Solution
y = {4, 4.4}
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