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Simplifying 3y2 = 20 + -7y Solving 3y2 = 20 + -7y Solving for variable 'y'. Reorder the terms: -20 + 7y + 3y2 = 20 + -7y + -20 + 7y Reorder the terms: -20 + 7y + 3y2 = 20 + -20 + -7y + 7y Combine like terms: 20 + -20 = 0 -20 + 7y + 3y2 = 0 + -7y + 7y -20 + 7y + 3y2 = -7y + 7y Combine like terms: -7y + 7y = 0 -20 + 7y + 3y2 = 0 Factor a trinomial. (-4 + -1y)(5 + -3y) = 0Subproblem 1
Set the factor '(-4 + -1y)' equal to zero and attempt to solve: Simplifying -4 + -1y = 0 Solving -4 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1y = 0 + 4 -1y = 0 + 4 Combine like terms: 0 + 4 = 4 -1y = 4 Divide each side by '-1'. y = -4 Simplifying y = -4Subproblem 2
Set the factor '(5 + -3y)' equal to zero and attempt to solve: Simplifying 5 + -3y = 0 Solving 5 + -3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3y = 0 + -5 -3y = 0 + -5 Combine like terms: 0 + -5 = -5 -3y = -5 Divide each side by '-3'. y = 1.666666667 Simplifying y = 1.666666667Solution
y = {-4, 1.666666667}
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