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Simplifying 37x2 + 1 = 2x Reorder the terms: 1 + 37x2 = 2x Solving 1 + 37x2 = 2x Solving for variable 'x'. Reorder the terms: 1 + -2x + 37x2 = 2x + -2x Combine like terms: 2x + -2x = 0 1 + -2x + 37x2 = 0 Begin completing the square. Divide all terms by 37 the coefficient of the squared term: Divide each side by '37'. 0.02702702703 + -0.05405405405x + x2 = 0 Move the constant term to the right: Add '-0.02702702703' to each side of the equation. 0.02702702703 + -0.05405405405x + -0.02702702703 + x2 = 0 + -0.02702702703 Reorder the terms: 0.02702702703 + -0.02702702703 + -0.05405405405x + x2 = 0 + -0.02702702703 Combine like terms: 0.02702702703 + -0.02702702703 = 0.00000000000 0.00000000000 + -0.05405405405x + x2 = 0 + -0.02702702703 -0.05405405405x + x2 = 0 + -0.02702702703 Combine like terms: 0 + -0.02702702703 = -0.02702702703 -0.05405405405x + x2 = -0.02702702703 The x term is -0.05405405405x. Take half its coefficient (-0.02702702703). Square it (0.0007304601901) and add it to both sides. Add '0.0007304601901' to each side of the equation. -0.05405405405x + 0.0007304601901 + x2 = -0.02702702703 + 0.0007304601901 Reorder the terms: 0.0007304601901 + -0.05405405405x + x2 = -0.02702702703 + 0.0007304601901 Combine like terms: -0.02702702703 + 0.0007304601901 = -0.0262965668399 0.0007304601901 + -0.05405405405x + x2 = -0.0262965668399 Factor a perfect square on the left side: (x + -0.02702702703)(x + -0.02702702703) = -0.0262965668399 Can't calculate square root of the right side. The solution to this equation could not be determined.
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