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Simplifying 3(y2 + -24) = -19y Reorder the terms: 3(-24 + y2) = -19y (-24 * 3 + y2 * 3) = -19y (-72 + 3y2) = -19y Solving -72 + 3y2 = -19y Solving for variable 'y'. Reorder the terms: -72 + 19y + 3y2 = -19y + 19y Combine like terms: -19y + 19y = 0 -72 + 19y + 3y2 = 0 Factor a trinomial. (-9 + -1y)(8 + -3y) = 0Subproblem 1
Set the factor '(-9 + -1y)' equal to zero and attempt to solve: Simplifying -9 + -1y = 0 Solving -9 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1y = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1y = 0 + 9 -1y = 0 + 9 Combine like terms: 0 + 9 = 9 -1y = 9 Divide each side by '-1'. y = -9 Simplifying y = -9Subproblem 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 = {-9, 2.666666667}
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