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Simplifying 0 = y2 + -11y + 28 Reorder the terms: 0 = 28 + -11y + y2 Solving 0 = 28 + -11y + y2 Solving for variable 'y'. Combine like terms: 0 + -28 = -28 -28 + 11y + -1y2 = 28 + -11y + y2 + -28 + 11y + -1y2 Reorder the terms: -28 + 11y + -1y2 = 28 + -28 + -11y + 11y + y2 + -1y2 Combine like terms: 28 + -28 = 0 -28 + 11y + -1y2 = 0 + -11y + 11y + y2 + -1y2 -28 + 11y + -1y2 = -11y + 11y + y2 + -1y2 Combine like terms: -11y + 11y = 0 -28 + 11y + -1y2 = 0 + y2 + -1y2 -28 + 11y + -1y2 = y2 + -1y2 Combine like terms: y2 + -1y2 = 0 -28 + 11y + -1y2 = 0 Factor a trinomial. (-7 + y)(4 + -1y) = 0Subproblem 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 '(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 = 4Solution
y = {7, 4}
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