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Simplifying y2 + 2y + 20(y + 2) = 0 Reorder the terms: y2 + 2y + 20(2 + y) = 0 y2 + 2y + (2 * 20 + y * 20) = 0 y2 + 2y + (40 + 20y) = 0 Reorder the terms: 40 + 2y + 20y + y2 = 0 Combine like terms: 2y + 20y = 22y 40 + 22y + y2 = 0 Solving 40 + 22y + y2 = 0 Solving for variable 'y'. Factor a trinomial. (20 + y)(2 + y) = 0Subproblem 1
Set the factor '(20 + y)' equal to zero and attempt to solve: Simplifying 20 + y = 0 Solving 20 + y = 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 + y = 0 + -20 Combine like terms: 20 + -20 = 0 0 + y = 0 + -20 y = 0 + -20 Combine like terms: 0 + -20 = -20 y = -20 Simplifying y = -20Subproblem 2
Set the factor '(2 + y)' equal to zero and attempt to solve: Simplifying 2 + y = 0 Solving 2 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + y = 0 + -2 y = 0 + -2 Combine like terms: 0 + -2 = -2 y = -2 Simplifying y = -2Solution
y = {-20, -2}
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