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Simplifying 0 = y2 + -10y + 24 Reorder the terms: 0 = 24 + -10y + y2 Solving 0 = 24 + -10y + y2 Solving for variable 'y'. Combine like terms: 0 + -24 = -24 -24 + 10y + -1y2 = 24 + -10y + y2 + -24 + 10y + -1y2 Reorder the terms: -24 + 10y + -1y2 = 24 + -24 + -10y + 10y + y2 + -1y2 Combine like terms: 24 + -24 = 0 -24 + 10y + -1y2 = 0 + -10y + 10y + y2 + -1y2 -24 + 10y + -1y2 = -10y + 10y + y2 + -1y2 Combine like terms: -10y + 10y = 0 -24 + 10y + -1y2 = 0 + y2 + -1y2 -24 + 10y + -1y2 = y2 + -1y2 Combine like terms: y2 + -1y2 = 0 -24 + 10y + -1y2 = 0 Factor a trinomial. (-6 + y)(4 + -1y) = 0Subproblem 1
Set the factor '(-6 + y)' equal to zero and attempt to solve: Simplifying -6 + y = 0 Solving -6 + y = 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 + y = 0 + 6 Combine like terms: -6 + 6 = 0 0 + y = 0 + 6 y = 0 + 6 Combine like terms: 0 + 6 = 6 y = 6 Simplifying y = 6Subproblem 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 = {6, 4}
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