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Simplifying -6 = 4y2 + -11y Reorder the terms: -6 = -11y + 4y2 Solving -6 = -11y + 4y2 Solving for variable 'y'. Reorder the terms: -6 + 11y + -4y2 = -11y + 11y + 4y2 + -4y2 Combine like terms: -11y + 11y = 0 -6 + 11y + -4y2 = 0 + 4y2 + -4y2 -6 + 11y + -4y2 = 4y2 + -4y2 Combine like terms: 4y2 + -4y2 = 0 -6 + 11y + -4y2 = 0 Factor a trinomial. (-2 + y)(3 + -4y) = 0Subproblem 1
Set the factor '(-2 + y)' equal to zero and attempt to solve: Simplifying -2 + y = 0 Solving -2 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + y = 0 + 2 y = 0 + 2 Combine like terms: 0 + 2 = 2 y = 2 Simplifying y = 2Subproblem 2
Set the factor '(3 + -4y)' equal to zero and attempt to solve: Simplifying 3 + -4y = 0 Solving 3 + -4y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4y = 0 + -3 -4y = 0 + -3 Combine like terms: 0 + -3 = -3 -4y = -3 Divide each side by '-4'. y = 0.75 Simplifying y = 0.75Solution
y = {2, 0.75}
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