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Simplifying 50x2 + 21x + 13 = 0 Reorder the terms: 13 + 21x + 50x2 = 0 Solving 13 + 21x + 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'. 0.26 + 0.42x + x2 = 0 Move the constant term to the right: Add '-0.26' to each side of the equation. 0.26 + 0.42x + -0.26 + x2 = 0 + -0.26 Reorder the terms: 0.26 + -0.26 + 0.42x + x2 = 0 + -0.26 Combine like terms: 0.26 + -0.26 = 0.00 0.00 + 0.42x + x2 = 0 + -0.26 0.42x + x2 = 0 + -0.26 Combine like terms: 0 + -0.26 = -0.26 0.42x + x2 = -0.26 The x term is 0.42x. Take half its coefficient (0.21). Square it (0.0441) and add it to both sides. Add '0.0441' to each side of the equation. 0.42x + 0.0441 + x2 = -0.26 + 0.0441 Reorder the terms: 0.0441 + 0.42x + x2 = -0.26 + 0.0441 Combine like terms: -0.26 + 0.0441 = -0.2159 0.0441 + 0.42x + x2 = -0.2159 Factor a perfect square on the left side: (x + 0.21)(x + 0.21) = -0.2159 Can't calculate square root of the right side. The solution to this equation could not be determined.
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