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Simplifying (7y + 20)(y + 21) = 0 Reorder the terms: (20 + 7y)(y + 21) = 0 Reorder the terms: (20 + 7y)(21 + y) = 0 Multiply (20 + 7y) * (21 + y) (20(21 + y) + 7y * (21 + y)) = 0 ((21 * 20 + y * 20) + 7y * (21 + y)) = 0 ((420 + 20y) + 7y * (21 + y)) = 0 (420 + 20y + (21 * 7y + y * 7y)) = 0 (420 + 20y + (147y + 7y2)) = 0 Combine like terms: 20y + 147y = 167y (420 + 167y + 7y2) = 0 Solving 420 + 167y + 7y2 = 0 Solving for variable 'y'. Factor a trinomial. (21 + y)(20 + 7y) = 0Subproblem 1
Set the factor '(21 + y)' equal to zero and attempt to solve: Simplifying 21 + y = 0 Solving 21 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + y = 0 + -21 Combine like terms: 21 + -21 = 0 0 + y = 0 + -21 y = 0 + -21 Combine like terms: 0 + -21 = -21 y = -21 Simplifying y = -21Subproblem 2
Set the factor '(20 + 7y)' equal to zero and attempt to solve: Simplifying 20 + 7y = 0 Solving 20 + 7y = 0 Move all terms containing y to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 7y = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 7y = 0 + -20 7y = 0 + -20 Combine like terms: 0 + -20 = -20 7y = -20 Divide each side by '7'. y = -2.857142857 Simplifying y = -2.857142857Solution
y = {-21, -2.857142857}
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