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Simplifying 40x2 + -39x + 40 = 0 Reorder the terms: 40 + -39x + 40x2 = 0 Solving 40 + -39x + 40x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 40 the coefficient of the squared term: Divide each side by '40'. 1 + -0.975x + x2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -0.975x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + -0.975x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -0.975x + x2 = 0 + -1 -0.975x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -0.975x + x2 = -1 The x term is -0.975x. Take half its coefficient (-0.4875). Square it (0.23765625) and add it to both sides. Add '0.23765625' to each side of the equation. -0.975x + 0.23765625 + x2 = -1 + 0.23765625 Reorder the terms: 0.23765625 + -0.975x + x2 = -1 + 0.23765625 Combine like terms: -1 + 0.23765625 = -0.76234375 0.23765625 + -0.975x + x2 = -0.76234375 Factor a perfect square on the left side: (x + -0.4875)(x + -0.4875) = -0.76234375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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