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Simplifying (3y + -5)(y + -10) = 0 Reorder the terms: (-5 + 3y)(y + -10) = 0 Reorder the terms: (-5 + 3y)(-10 + y) = 0 Multiply (-5 + 3y) * (-10 + y) (-5(-10 + y) + 3y * (-10 + y)) = 0 ((-10 * -5 + y * -5) + 3y * (-10 + y)) = 0 ((50 + -5y) + 3y * (-10 + y)) = 0 (50 + -5y + (-10 * 3y + y * 3y)) = 0 (50 + -5y + (-30y + 3y2)) = 0 Combine like terms: -5y + -30y = -35y (50 + -35y + 3y2) = 0 Solving 50 + -35y + 3y2 = 0 Solving for variable 'y'. Factor a trinomial. (5 + -3y)(10 + -1y) = 0Subproblem 1
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 = 1.666666667Subproblem 2
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 = 10Solution
y = {1.666666667, 10}
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