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Simplifying 95 + 15Q + 10Q2 = 0 Solving 95 + 15Q + 10Q2 = 0 Solving for variable 'Q'. Factor out the Greatest Common Factor (GCF), '5'. 5(19 + 3Q + 2Q2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(19 + 3Q + 2Q2)' equal to zero and attempt to solve: Simplifying 19 + 3Q + 2Q2 = 0 Solving 19 + 3Q + 2Q2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 9.5 + 1.5Q + Q2 = 0 Move the constant term to the right: Add '-9.5' to each side of the equation. 9.5 + 1.5Q + -9.5 + Q2 = 0 + -9.5 Reorder the terms: 9.5 + -9.5 + 1.5Q + Q2 = 0 + -9.5 Combine like terms: 9.5 + -9.5 = 0.0 0.0 + 1.5Q + Q2 = 0 + -9.5 1.5Q + Q2 = 0 + -9.5 Combine like terms: 0 + -9.5 = -9.5 1.5Q + Q2 = -9.5 The Q term is 1.5Q. Take half its coefficient (0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. 1.5Q + 0.5625 + Q2 = -9.5 + 0.5625 Reorder the terms: 0.5625 + 1.5Q + Q2 = -9.5 + 0.5625 Combine like terms: -9.5 + 0.5625 = -8.9375 0.5625 + 1.5Q + Q2 = -8.9375 Factor a perfect square on the left side: (Q + 0.75)(Q + 0.75) = -8.9375 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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