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Simplifying 53x2 + 1 = 14x Reorder the terms: 1 + 53x2 = 14x Solving 1 + 53x2 = 14x Solving for variable 'x'. Reorder the terms: 1 + -14x + 53x2 = 14x + -14x Combine like terms: 14x + -14x = 0 1 + -14x + 53x2 = 0 Begin completing the square. Divide all terms by 53 the coefficient of the squared term: Divide each side by '53'. 0.01886792453 + -0.2641509434x + x2 = 0 Move the constant term to the right: Add '-0.01886792453' to each side of the equation. 0.01886792453 + -0.2641509434x + -0.01886792453 + x2 = 0 + -0.01886792453 Reorder the terms: 0.01886792453 + -0.01886792453 + -0.2641509434x + x2 = 0 + -0.01886792453 Combine like terms: 0.01886792453 + -0.01886792453 = 0.00000000000 0.00000000000 + -0.2641509434x + x2 = 0 + -0.01886792453 -0.2641509434x + x2 = 0 + -0.01886792453 Combine like terms: 0 + -0.01886792453 = -0.01886792453 -0.2641509434x + x2 = -0.01886792453 The x term is -0.2641509434x. Take half its coefficient (-0.1320754717). Square it (0.01744393022) and add it to both sides. Add '0.01744393022' to each side of the equation. -0.2641509434x + 0.01744393022 + x2 = -0.01886792453 + 0.01744393022 Reorder the terms: 0.01744393022 + -0.2641509434x + x2 = -0.01886792453 + 0.01744393022 Combine like terms: -0.01886792453 + 0.01744393022 = -0.00142399431 0.01744393022 + -0.2641509434x + x2 = -0.00142399431 Factor a perfect square on the left side: (x + -0.1320754717)(x + -0.1320754717) = -0.00142399431 Can't calculate square root of the right side. The solution to this equation could not be determined.
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