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Simplifying 3(y + 9) * 1y = 30 Reorder the terms: 3(9 + y) * 1y = 30 Reorder the terms for easier multiplication: 3 * 1y(9 + y) = 30 Multiply 3 * 1 3y(9 + y) = 30 (9 * 3y + y * 3y) = 30 (27y + 3y2) = 30 Solving 27y + 3y2 = 30 Solving for variable 'y'. Reorder the terms: -30 + 27y + 3y2 = 30 + -30 Combine like terms: 30 + -30 = 0 -30 + 27y + 3y2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-10 + 9y + y2) = 0 Factor a trinomial. 3((-10 + -1y)(1 + -1y)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-10 + -1y)' equal to zero and attempt to solve: Simplifying -10 + -1y = 0 Solving -10 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1y = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1y = 0 + 10 -1y = 0 + 10 Combine like terms: 0 + 10 = 10 -1y = 10 Divide each side by '-1'. y = -10 Simplifying y = -10Subproblem 2
Set the factor '(1 + -1y)' equal to zero and attempt to solve: Simplifying 1 + -1y = 0 Solving 1 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1y = 0 + -1 -1y = 0 + -1 Combine like terms: 0 + -1 = -1 -1y = -1 Divide each side by '-1'. y = 1 Simplifying y = 1Solution
y = {-10, 1}
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