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Simplifying (27 + -1y)(27 + -1y) = 0 Multiply (27 + -1y) * (27 + -1y) (27(27 + -1y) + -1y * (27 + -1y)) = 0 ((27 * 27 + -1y * 27) + -1y * (27 + -1y)) = 0 ((729 + -27y) + -1y * (27 + -1y)) = 0 (729 + -27y + (27 * -1y + -1y * -1y)) = 0 (729 + -27y + (-27y + 1y2)) = 0 Combine like terms: -27y + -27y = -54y (729 + -54y + 1y2) = 0 Solving 729 + -54y + 1y2 = 0 Solving for variable 'y'. Factor a trinomial. (27 + -1y)(27 + -1y) = 0Subproblem 1
Set the factor '(27 + -1y)' equal to zero and attempt to solve: Simplifying 27 + -1y = 0 Solving 27 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -1y = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -1y = 0 + -27 -1y = 0 + -27 Combine like terms: 0 + -27 = -27 -1y = -27 Divide each side by '-1'. y = 27 Simplifying y = 27Subproblem 2
Set the factor '(27 + -1y)' equal to zero and attempt to solve: Simplifying 27 + -1y = 0 Solving 27 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -1y = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -1y = 0 + -27 -1y = 0 + -27 Combine like terms: 0 + -27 = -27 -1y = -27 Divide each side by '-1'. y = 27 Simplifying y = 27Solution
y = {27, 27}
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