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Simplifying y(y + 5) = 750 Reorder the terms: y(5 + y) = 750 (5 * y + y * y) = 750 (5y + y2) = 750 Solving 5y + y2 = 750 Solving for variable 'y'. Reorder the terms: -750 + 5y + y2 = 750 + -750 Combine like terms: 750 + -750 = 0 -750 + 5y + y2 = 0 Factor a trinomial. (-30 + -1y)(25 + -1y) = 0Subproblem 1
Set the factor '(-30 + -1y)' equal to zero and attempt to solve: Simplifying -30 + -1y = 0 Solving -30 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + -1y = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -1y = 0 + 30 -1y = 0 + 30 Combine like terms: 0 + 30 = 30 -1y = 30 Divide each side by '-1'. y = -30 Simplifying y = -30Subproblem 2
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 = 25Solution
y = {-30, 25}
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