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Simplifying 5y2 + 17y + 12 = 0 Reorder the terms: 12 + 17y + 5y2 = 0 Solving 12 + 17y + 5y2 = 0 Solving for variable 'y'. Factor a trinomial. (12 + 5y)(1 + y) = 0Subproblem 1
Set the factor '(12 + 5y)' equal to zero and attempt to solve: Simplifying 12 + 5y = 0 Solving 12 + 5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 5y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 5y = 0 + -12 5y = 0 + -12 Combine like terms: 0 + -12 = -12 5y = -12 Divide each side by '5'. y = -2.4 Simplifying y = -2.4Subproblem 2
Set the factor '(1 + y)' equal to zero and attempt to solve: Simplifying 1 + y = 0 Solving 1 + y = 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 + y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + y = 0 + -1 y = 0 + -1 Combine like terms: 0 + -1 = -1 y = -1 Simplifying y = -1Solution
y = {-2.4, -1}
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