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Simplifying -1y2 = -10y + 25 Reorder the terms: -1y2 = 25 + -10y Solving -1y2 = 25 + -10y Solving for variable 'y'. Reorder the terms: -25 + 10y + -1y2 = 25 + -10y + -25 + 10y Reorder the terms: -25 + 10y + -1y2 = 25 + -25 + -10y + 10y Combine like terms: 25 + -25 = 0 -25 + 10y + -1y2 = 0 + -10y + 10y -25 + 10y + -1y2 = -10y + 10y Combine like terms: -10y + 10y = 0 -25 + 10y + -1y2 = 0 Factor a trinomial. (-5 + y)(5 + -1y) = 0Subproblem 1
Set the factor '(-5 + y)' equal to zero and attempt to solve: Simplifying -5 + y = 0 Solving -5 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + y = 0 + 5 y = 0 + 5 Combine like terms: 0 + 5 = 5 y = 5 Simplifying y = 5Subproblem 2
Set the factor '(5 + -1y)' equal to zero and attempt to solve: Simplifying 5 + -1y = 0 Solving 5 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1y = 0 + -5 -1y = 0 + -5 Combine like terms: 0 + -5 = -5 -1y = -5 Divide each side by '-1'. y = 5 Simplifying y = 5Solution
y = {5, 5}
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