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Simplifying y(y + -6) + -6(y + -6) = 0 Reorder the terms: y(-6 + y) + -6(y + -6) = 0 (-6 * y + y * y) + -6(y + -6) = 0 (-6y + y2) + -6(y + -6) = 0 Reorder the terms: -6y + y2 + -6(-6 + y) = 0 -6y + y2 + (-6 * -6 + y * -6) = 0 -6y + y2 + (36 + -6y) = 0 Reorder the terms: 36 + -6y + -6y + y2 = 0 Combine like terms: -6y + -6y = -12y 36 + -12y + y2 = 0 Solving 36 + -12y + y2 = 0 Solving for variable 'y'. Factor a trinomial. (6 + -1y)(6 + -1y) = 0Subproblem 1
Set the factor '(6 + -1y)' equal to zero and attempt to solve: Simplifying 6 + -1y = 0 Solving 6 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1y = 0 + -6 -1y = 0 + -6 Combine like terms: 0 + -6 = -6 -1y = -6 Divide each side by '-1'. y = 6 Simplifying y = 6Subproblem 2
Set the factor '(6 + -1y)' equal to zero and attempt to solve: Simplifying 6 + -1y = 0 Solving 6 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1y = 0 + -6 -1y = 0 + -6 Combine like terms: 0 + -6 = -6 -1y = -6 Divide each side by '-1'. y = 6 Simplifying y = 6Solution
y = {6, 6}
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