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Simplifying (55 + -1y) * y = 684 Reorder the terms for easier multiplication: y(55 + -1y) = 684 (55 * y + -1y * y) = 684 (55y + -1y2) = 684 Solving 55y + -1y2 = 684 Solving for variable 'y'. Reorder the terms: -684 + 55y + -1y2 = 684 + -684 Combine like terms: 684 + -684 = 0 -684 + 55y + -1y2 = 0 Factor a trinomial. (-36 + y)(19 + -1y) = 0Subproblem 1
Set the factor '(-36 + y)' equal to zero and attempt to solve: Simplifying -36 + y = 0 Solving -36 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + y = 0 + 36 Combine like terms: -36 + 36 = 0 0 + y = 0 + 36 y = 0 + 36 Combine like terms: 0 + 36 = 36 y = 36 Simplifying y = 36Subproblem 2
Set the factor '(19 + -1y)' equal to zero and attempt to solve: Simplifying 19 + -1y = 0 Solving 19 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -1y = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -1y = 0 + -19 -1y = 0 + -19 Combine like terms: 0 + -19 = -19 -1y = -19 Divide each side by '-1'. y = 19 Simplifying y = 19Solution
y = {36, 19}
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