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Simplifying 4y2 = 6 + -5y Solving 4y2 = 6 + -5y Solving for variable 'y'. Reorder the terms: -6 + 5y + 4y2 = 6 + -5y + -6 + 5y Reorder the terms: -6 + 5y + 4y2 = 6 + -6 + -5y + 5y Combine like terms: 6 + -6 = 0 -6 + 5y + 4y2 = 0 + -5y + 5y -6 + 5y + 4y2 = -5y + 5y Combine like terms: -5y + 5y = 0 -6 + 5y + 4y2 = 0 Factor a trinomial. (-2 + -1y)(3 + -4y) = 0Subproblem 1
Set the factor '(-2 + -1y)' equal to zero and attempt to solve: Simplifying -2 + -1y = 0 Solving -2 + -1y = 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 + -1y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1y = 0 + 2 -1y = 0 + 2 Combine like terms: 0 + 2 = 2 -1y = 2 Divide each side by '-1'. 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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