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Simplifying (y + 1)(y + -6) = 0 Reorder the terms: (1 + y)(y + -6) = 0 Reorder the terms: (1 + y)(-6 + y) = 0 Multiply (1 + y) * (-6 + y) (1(-6 + y) + y(-6 + y)) = 0 ((-6 * 1 + y * 1) + y(-6 + y)) = 0 ((-6 + 1y) + y(-6 + y)) = 0 (-6 + 1y + (-6 * y + y * y)) = 0 (-6 + 1y + (-6y + y2)) = 0 Combine like terms: 1y + -6y = -5y (-6 + -5y + y2) = 0 Solving -6 + -5y + y2 = 0 Solving for variable 'y'. Factor a trinomial. (-1 + -1y)(6 + -1y) = 0Subproblem 1
Set the factor '(-1 + -1y)' equal to zero and attempt to solve: Simplifying -1 + -1y = 0 Solving -1 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1y = 0 + 1 -1y = 0 + 1 Combine like terms: 0 + 1 = 1 -1y = 1 Divide each side by '-1'. y = -1 Simplifying y = -1Subproblem 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 = {-1, 6}
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