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Simplifying y2 + 21y + -100 = 0 Reorder the terms: -100 + 21y + y2 = 0 Solving -100 + 21y + y2 = 0 Solving for variable 'y'. Factor a trinomial. (-25 + -1y)(4 + -1y) = 0Subproblem 1
Set the factor '(-25 + -1y)' equal to zero and attempt to solve: Simplifying -25 + -1y = 0 Solving -25 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + -1y = 0 + 25 Combine like terms: -25 + 25 = 0 0 + -1y = 0 + 25 -1y = 0 + 25 Combine like terms: 0 + 25 = 25 -1y = 25 Divide each side by '-1'. y = -25 Simplifying y = -25Subproblem 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 = {-25, 4}
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