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Simplifying 5y(y + 2) + 55(y + 2) = 0 Reorder the terms: 5y(2 + y) + 55(y + 2) = 0 (2 * 5y + y * 5y) + 55(y + 2) = 0 (10y + 5y2) + 55(y + 2) = 0 Reorder the terms: 10y + 5y2 + 55(2 + y) = 0 10y + 5y2 + (2 * 55 + y * 55) = 0 10y + 5y2 + (110 + 55y) = 0 Reorder the terms: 110 + 10y + 55y + 5y2 = 0 Combine like terms: 10y + 55y = 65y 110 + 65y + 5y2 = 0 Solving 110 + 65y + 5y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '5'. 5(22 + 13y + y2) = 0 Factor a trinomial. 5((11 + y)(2 + y)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(11 + y)' equal to zero and attempt to solve: Simplifying 11 + y = 0 Solving 11 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + y = 0 + -11 Combine like terms: 11 + -11 = 0 0 + y = 0 + -11 y = 0 + -11 Combine like terms: 0 + -11 = -11 y = -11 Simplifying y = -11Subproblem 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 = {-11, -2}
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