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Simplifying 3y2 = 75 + -40y Solving 3y2 = 75 + -40y Solving for variable 'y'. Reorder the terms: -75 + 40y + 3y2 = 75 + -40y + -75 + 40y Reorder the terms: -75 + 40y + 3y2 = 75 + -75 + -40y + 40y Combine like terms: 75 + -75 = 0 -75 + 40y + 3y2 = 0 + -40y + 40y -75 + 40y + 3y2 = -40y + 40y Combine like terms: -40y + 40y = 0 -75 + 40y + 3y2 = 0 Factor a trinomial. (-15 + -1y)(5 + -3y) = 0Subproblem 1
Set the factor '(-15 + -1y)' equal to zero and attempt to solve: Simplifying -15 + -1y = 0 Solving -15 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -1y = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -1y = 0 + 15 -1y = 0 + 15 Combine like terms: 0 + 15 = 15 -1y = 15 Divide each side by '-1'. y = -15 Simplifying y = -15Subproblem 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 = {-15, 1.666666667}
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