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Simplifying 3y2 = -7y + 40 Reorder the terms: 3y2 = 40 + -7y Solving 3y2 = 40 + -7y Solving for variable 'y'. Reorder the terms: -40 + 7y + 3y2 = 40 + -7y + -40 + 7y Reorder the terms: -40 + 7y + 3y2 = 40 + -40 + -7y + 7y Combine like terms: 40 + -40 = 0 -40 + 7y + 3y2 = 0 + -7y + 7y -40 + 7y + 3y2 = -7y + 7y Combine like terms: -7y + 7y = 0 -40 + 7y + 3y2 = 0 Factor a trinomial. (-5 + -1y)(8 + -3y) = 0Subproblem 1
Set the factor '(-5 + -1y)' equal to zero and attempt to solve: Simplifying -5 + -1y = 0 Solving -5 + -1y = 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 + -1y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1y = 0 + 5 -1y = 0 + 5 Combine like terms: 0 + 5 = 5 -1y = 5 Divide each side by '-1'. y = -5 Simplifying y = -5Subproblem 2
Set the factor '(8 + -3y)' equal to zero and attempt to solve: Simplifying 8 + -3y = 0 Solving 8 + -3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -3y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3y = 0 + -8 -3y = 0 + -8 Combine like terms: 0 + -8 = -8 -3y = -8 Divide each side by '-3'. y = 2.666666667 Simplifying y = 2.666666667Solution
y = {-5, 2.666666667}
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