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Simplifying 95x2 + 20x + 60 = 0 Reorder the terms: 60 + 20x + 95x2 = 0 Solving 60 + 20x + 95x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5'. 5(12 + 4x + 19x2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(12 + 4x + 19x2)' equal to zero and attempt to solve: Simplifying 12 + 4x + 19x2 = 0 Solving 12 + 4x + 19x2 = 0 Begin completing the square. Divide all terms by 19 the coefficient of the squared term: Divide each side by '19'. 0.6315789474 + 0.2105263158x + x2 = 0 Move the constant term to the right: Add '-0.6315789474' to each side of the equation. 0.6315789474 + 0.2105263158x + -0.6315789474 + x2 = 0 + -0.6315789474 Reorder the terms: 0.6315789474 + -0.6315789474 + 0.2105263158x + x2 = 0 + -0.6315789474 Combine like terms: 0.6315789474 + -0.6315789474 = 0.0000000000 0.0000000000 + 0.2105263158x + x2 = 0 + -0.6315789474 0.2105263158x + x2 = 0 + -0.6315789474 Combine like terms: 0 + -0.6315789474 = -0.6315789474 0.2105263158x + x2 = -0.6315789474 The x term is 0.2105263158x. Take half its coefficient (0.1052631579). Square it (0.01108033241) and add it to both sides. Add '0.01108033241' to each side of the equation. 0.2105263158x + 0.01108033241 + x2 = -0.6315789474 + 0.01108033241 Reorder the terms: 0.01108033241 + 0.2105263158x + x2 = -0.6315789474 + 0.01108033241 Combine like terms: -0.6315789474 + 0.01108033241 = -0.62049861499 0.01108033241 + 0.2105263158x + x2 = -0.62049861499 Factor a perfect square on the left side: (x + 0.1052631579)(x + 0.1052631579) = -0.62049861499 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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