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Simplifying 6y2 = 11y + 7 Reorder the terms: 6y2 = 7 + 11y Solving 6y2 = 7 + 11y Solving for variable 'y'. Reorder the terms: -7 + -11y + 6y2 = 7 + 11y + -7 + -11y Reorder the terms: -7 + -11y + 6y2 = 7 + -7 + 11y + -11y Combine like terms: 7 + -7 = 0 -7 + -11y + 6y2 = 0 + 11y + -11y -7 + -11y + 6y2 = 11y + -11y Combine like terms: 11y + -11y = 0 -7 + -11y + 6y2 = 0 Factor a trinomial. (-1 + -2y)(7 + -3y) = 0Subproblem 1
Set the factor '(-1 + -2y)' equal to zero and attempt to solve: Simplifying -1 + -2y = 0 Solving -1 + -2y = 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 + -2y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2y = 0 + 1 -2y = 0 + 1 Combine like terms: 0 + 1 = 1 -2y = 1 Divide each side by '-2'. y = -0.5 Simplifying y = -0.5Subproblem 2
Set the factor '(7 + -3y)' equal to zero and attempt to solve: Simplifying 7 + -3y = 0 Solving 7 + -3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3y = 0 + -7 -3y = 0 + -7 Combine like terms: 0 + -7 = -7 -3y = -7 Divide each side by '-3'. y = 2.333333333 Simplifying y = 2.333333333Solution
y = {-0.5, 2.333333333}
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