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Simplifying y2 = 6 + -5y Solving y2 = 6 + -5y Solving for variable 'y'. Reorder the terms: -6 + 5y + y2 = 6 + -5y + -6 + 5y Reorder the terms: -6 + 5y + y2 = 6 + -6 + -5y + 5y Combine like terms: 6 + -6 = 0 -6 + 5y + y2 = 0 + -5y + 5y -6 + 5y + y2 = -5y + 5y Combine like terms: -5y + 5y = 0 -6 + 5y + y2 = 0 Factor a trinomial. (-6 + -1y)(1 + -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 '(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 = {-6, 1}
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