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Simplifying y(y + 5) = 3300 Reorder the terms: y(5 + y) = 3300 (5 * y + y * y) = 3300 (5y + y2) = 3300 Solving 5y + y2 = 3300 Solving for variable 'y'. Reorder the terms: -3300 + 5y + y2 = 3300 + -3300 Combine like terms: 3300 + -3300 = 0 -3300 + 5y + y2 = 0 Factor a trinomial. (-60 + -1y)(55 + -1y) = 0Subproblem 1
Set the factor '(-60 + -1y)' equal to zero and attempt to solve: Simplifying -60 + -1y = 0 Solving -60 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '60' to each side of the equation. -60 + 60 + -1y = 0 + 60 Combine like terms: -60 + 60 = 0 0 + -1y = 0 + 60 -1y = 0 + 60 Combine like terms: 0 + 60 = 60 -1y = 60 Divide each side by '-1'. y = -60 Simplifying y = -60Subproblem 2
Set the factor '(55 + -1y)' equal to zero and attempt to solve: Simplifying 55 + -1y = 0 Solving 55 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-55' to each side of the equation. 55 + -55 + -1y = 0 + -55 Combine like terms: 55 + -55 = 0 0 + -1y = 0 + -55 -1y = 0 + -55 Combine like terms: 0 + -55 = -55 -1y = -55 Divide each side by '-1'. y = 55 Simplifying y = 55Solution
y = {-60, 55}
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