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Simplifying -1y2 = 15 + -16y Solving -1y2 = 15 + -16y Solving for variable 'y'. Reorder the terms: -15 + 16y + -1y2 = 15 + -16y + -15 + 16y Reorder the terms: -15 + 16y + -1y2 = 15 + -15 + -16y + 16y Combine like terms: 15 + -15 = 0 -15 + 16y + -1y2 = 0 + -16y + 16y -15 + 16y + -1y2 = -16y + 16y Combine like terms: -16y + 16y = 0 -15 + 16y + -1y2 = 0 Factor a trinomial. (-15 + y)(1 + -1y) = 0Subproblem 1
Set the factor '(-15 + y)' equal to zero and attempt to solve: Simplifying -15 + y = 0 Solving -15 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + y = 0 + 15 Combine like terms: -15 + 15 = 0 0 + y = 0 + 15 y = 0 + 15 Combine like terms: 0 + 15 = 15 y = 15 Simplifying y = 15Subproblem 2
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 = 1Solution
y = {15, 1}
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