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Simplifying (y + -10) * y = 375 Reorder the terms: (-10 + y) * y = 375 Reorder the terms for easier multiplication: y(-10 + y) = 375 (-10 * y + y * y) = 375 (-10y + y2) = 375 Solving -10y + y2 = 375 Solving for variable 'y'. Reorder the terms: -375 + -10y + y2 = 375 + -375 Combine like terms: 375 + -375 = 0 -375 + -10y + y2 = 0 Factor a trinomial. (-15 + -1y)(25 + -1y) = 0Subproblem 1
Set the factor '(-15 + -1y)' equal to zero and attempt to solve: Simplifying -15 + -1y = 0 Solving -15 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -1y = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -1y = 0 + 15 -1y = 0 + 15 Combine like terms: 0 + 15 = 15 -1y = 15 Divide each side by '-1'. y = -15 Simplifying y = -15Subproblem 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 = {-15, 25}
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