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Simplifying 20Y2 + 39Y + 7 = 0 Reorder the terms: 7 + 39Y + 20Y2 = 0 Solving 7 + 39Y + 20Y2 = 0 Solving for variable 'Y'. Factor a trinomial. (7 + 4Y)(1 + 5Y) = 0Subproblem 1
Set the factor '(7 + 4Y)' equal to zero and attempt to solve: Simplifying 7 + 4Y = 0 Solving 7 + 4Y = 0 Move all terms containing Y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 4Y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4Y = 0 + -7 4Y = 0 + -7 Combine like terms: 0 + -7 = -7 4Y = -7 Divide each side by '4'. Y = -1.75 Simplifying Y = -1.75Subproblem 2
Set the factor '(1 + 5Y)' equal to zero and attempt to solve: Simplifying 1 + 5Y = 0 Solving 1 + 5Y = 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 + 5Y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5Y = 0 + -1 5Y = 0 + -1 Combine like terms: 0 + -1 = -1 5Y = -1 Divide each side by '5'. Y = -0.2 Simplifying Y = -0.2Solution
Y = {-1.75, -0.2}
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