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Simplifying 2y2 + -1y = 171 Reorder the terms: -1y + 2y2 = 171 Solving -1y + 2y2 = 171 Solving for variable 'y'. Reorder the terms: -171 + -1y + 2y2 = 171 + -171 Combine like terms: 171 + -171 = 0 -171 + -1y + 2y2 = 0 Factor a trinomial. (-9 + -1y)(19 + -2y) = 0Subproblem 1
Set the factor '(-9 + -1y)' equal to zero and attempt to solve: Simplifying -9 + -1y = 0 Solving -9 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1y = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1y = 0 + 9 -1y = 0 + 9 Combine like terms: 0 + 9 = 9 -1y = 9 Divide each side by '-1'. y = -9 Simplifying y = -9Subproblem 2
Set the factor '(19 + -2y)' equal to zero and attempt to solve: Simplifying 19 + -2y = 0 Solving 19 + -2y = 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 + -2y = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -2y = 0 + -19 -2y = 0 + -19 Combine like terms: 0 + -19 = -19 -2y = -19 Divide each side by '-2'. y = 9.5 Simplifying y = 9.5Solution
y = {-9, 9.5}
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