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Simplifying (2y + -1)(y + 13) = 0 Reorder the terms: (-1 + 2y)(y + 13) = 0 Reorder the terms: (-1 + 2y)(13 + y) = 0 Multiply (-1 + 2y) * (13 + y) (-1(13 + y) + 2y * (13 + y)) = 0 ((13 * -1 + y * -1) + 2y * (13 + y)) = 0 ((-13 + -1y) + 2y * (13 + y)) = 0 (-13 + -1y + (13 * 2y + y * 2y)) = 0 (-13 + -1y + (26y + 2y2)) = 0 Combine like terms: -1y + 26y = 25y (-13 + 25y + 2y2) = 0 Solving -13 + 25y + 2y2 = 0 Solving for variable 'y'. Factor a trinomial. (-13 + -1y)(1 + -2y) = 0Subproblem 1
Set the factor '(-13 + -1y)' equal to zero and attempt to solve: Simplifying -13 + -1y = 0 Solving -13 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -1y = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -1y = 0 + 13 -1y = 0 + 13 Combine like terms: 0 + 13 = 13 -1y = 13 Divide each side by '-1'. y = -13 Simplifying y = -13Subproblem 2
Set the factor '(1 + -2y)' equal to zero and attempt to solve: Simplifying 1 + -2y = 0 Solving 1 + -2y = 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 + -2y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2y = 0 + -1 -2y = 0 + -1 Combine like terms: 0 + -1 = -1 -2y = -1 Divide each side by '-2'. y = 0.5 Simplifying y = 0.5Solution
y = {-13, 0.5}
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