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Simplifying y2 + 6y2 + -1y + -6 = 0 Reorder the terms: -6 + -1y + y2 + 6y2 = 0 Combine like terms: y2 + 6y2 = 7y2 -6 + -1y + 7y2 = 0 Solving -6 + -1y + 7y2 = 0 Solving for variable 'y'. Factor a trinomial. (-6 + -7y)(1 + -1y) = 0Subproblem 1
Set the factor '(-6 + -7y)' equal to zero and attempt to solve: Simplifying -6 + -7y = 0 Solving -6 + -7y = 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 + -7y = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -7y = 0 + 6 -7y = 0 + 6 Combine like terms: 0 + 6 = 6 -7y = 6 Divide each side by '-7'. y = -0.8571428571 Simplifying y = -0.8571428571Subproblem 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 = {-0.8571428571, 1}
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