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Simplifying (-2 + -1y)(y + -19) = 0 Reorder the terms: (-2 + -1y)(-19 + y) = 0 Multiply (-2 + -1y) * (-19 + y) (-2(-19 + y) + -1y * (-19 + y)) = 0 ((-19 * -2 + y * -2) + -1y * (-19 + y)) = 0 ((38 + -2y) + -1y * (-19 + y)) = 0 (38 + -2y + (-19 * -1y + y * -1y)) = 0 (38 + -2y + (19y + -1y2)) = 0 Combine like terms: -2y + 19y = 17y (38 + 17y + -1y2) = 0 Solving 38 + 17y + -1y2 = 0 Solving for variable 'y'. Factor a trinomial. (19 + -1y)(2 + y) = 0Subproblem 1
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 = 19Subproblem 2
Set the factor '(2 + y)' equal to zero and attempt to solve: Simplifying 2 + y = 0 Solving 2 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + y = 0 + -2 y = 0 + -2 Combine like terms: 0 + -2 = -2 y = -2 Simplifying y = -2Solution
y = {19, -2}
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