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Simplifying 3y2 = -10y + 48 Reorder the terms: 3y2 = 48 + -10y Solving 3y2 = 48 + -10y Solving for variable 'y'. Reorder the terms: -48 + 10y + 3y2 = 48 + -10y + -48 + 10y Reorder the terms: -48 + 10y + 3y2 = 48 + -48 + -10y + 10y Combine like terms: 48 + -48 = 0 -48 + 10y + 3y2 = 0 + -10y + 10y -48 + 10y + 3y2 = -10y + 10y Combine like terms: -10y + 10y = 0 -48 + 10y + 3y2 = 0 Factor a trinomial. (-6 + -1y)(8 + -3y) = 0Subproblem 1
Set the factor '(-6 + -1y)' equal to zero and attempt to solve: Simplifying -6 + -1y = 0 Solving -6 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1y = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1y = 0 + 6 -1y = 0 + 6 Combine like terms: 0 + 6 = 6 -1y = 6 Divide each side by '-1'. y = -6 Simplifying y = -6Subproblem 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 = {-6, 2.666666667}
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