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Simplifying -1y = 5y2 + -6 Reorder the terms: -1y = -6 + 5y2 Solving -1y = -6 + 5y2 Solving for variable 'y'. Reorder the terms: 6 + -1y + -5y2 = -6 + 5y2 + 6 + -5y2 Reorder the terms: 6 + -1y + -5y2 = -6 + 6 + 5y2 + -5y2 Combine like terms: -6 + 6 = 0 6 + -1y + -5y2 = 0 + 5y2 + -5y2 6 + -1y + -5y2 = 5y2 + -5y2 Combine like terms: 5y2 + -5y2 = 0 6 + -1y + -5y2 = 0 Factor a trinomial. (1 + -1y)(6 + 5y) = 0Subproblem 1
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 = 1Subproblem 2
Set the factor '(6 + 5y)' equal to zero and attempt to solve: Simplifying 6 + 5y = 0 Solving 6 + 5y = 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 + 5y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 5y = 0 + -6 5y = 0 + -6 Combine like terms: 0 + -6 = -6 5y = -6 Divide each side by '5'. y = -1.2 Simplifying y = -1.2Solution
y = {1, -1.2}
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