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Simplifying 20x2 + -9x + 40 = 0 Reorder the terms: 40 + -9x + 20x2 = 0 Solving 40 + -9x + 20x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 20 the coefficient of the squared term: Divide each side by '20'. 2 + -0.45x + x2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + -0.45x + -2 + x2 = 0 + -2 Reorder the terms: 2 + -2 + -0.45x + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -0.45x + x2 = 0 + -2 -0.45x + x2 = 0 + -2 Combine like terms: 0 + -2 = -2 -0.45x + x2 = -2 The x term is -0.45x. Take half its coefficient (-0.225). Square it (0.050625) and add it to both sides. Add '0.050625' to each side of the equation. -0.45x + 0.050625 + x2 = -2 + 0.050625 Reorder the terms: 0.050625 + -0.45x + x2 = -2 + 0.050625 Combine like terms: -2 + 0.050625 = -1.949375 0.050625 + -0.45x + x2 = -1.949375 Factor a perfect square on the left side: (x + -0.225)(x + -0.225) = -1.949375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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