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Simplifying 50x2 + 7.5x + 1 = 0 Reorder the terms: 1 + 7.5x + 50x2 = 0 Solving 1 + 7.5x + 50x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 50 the coefficient of the squared term: Divide each side by '50'. 0.02 + 0.15x + x2 = 0 Move the constant term to the right: Add '-0.02' to each side of the equation. 0.02 + 0.15x + -0.02 + x2 = 0 + -0.02 Reorder the terms: 0.02 + -0.02 + 0.15x + x2 = 0 + -0.02 Combine like terms: 0.02 + -0.02 = 0.00 0.00 + 0.15x + x2 = 0 + -0.02 0.15x + x2 = 0 + -0.02 Combine like terms: 0 + -0.02 = -0.02 0.15x + x2 = -0.02 The x term is 0.15x. Take half its coefficient (0.075). Square it (0.005625) and add it to both sides. Add '0.005625' to each side of the equation. 0.15x + 0.005625 + x2 = -0.02 + 0.005625 Reorder the terms: 0.005625 + 0.15x + x2 = -0.02 + 0.005625 Combine like terms: -0.02 + 0.005625 = -0.014375 0.005625 + 0.15x + x2 = -0.014375 Factor a perfect square on the left side: (x + 0.075)(x + 0.075) = -0.014375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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