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Simplifying 20x2 + 33x + 14 = 0 Reorder the terms: 14 + 33x + 20x2 = 0 Solving 14 + 33x + 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'. 0.7 + 1.65x + x2 = 0 Move the constant term to the right: Add '-0.7' to each side of the equation. 0.7 + 1.65x + -0.7 + x2 = 0 + -0.7 Reorder the terms: 0.7 + -0.7 + 1.65x + x2 = 0 + -0.7 Combine like terms: 0.7 + -0.7 = 0.0 0.0 + 1.65x + x2 = 0 + -0.7 1.65x + x2 = 0 + -0.7 Combine like terms: 0 + -0.7 = -0.7 1.65x + x2 = -0.7 The x term is 1.65x. Take half its coefficient (0.825). Square it (0.680625) and add it to both sides. Add '0.680625' to each side of the equation. 1.65x + 0.680625 + x2 = -0.7 + 0.680625 Reorder the terms: 0.680625 + 1.65x + x2 = -0.7 + 0.680625 Combine like terms: -0.7 + 0.680625 = -0.019375 0.680625 + 1.65x + x2 = -0.019375 Factor a perfect square on the left side: (x + 0.825)(x + 0.825) = -0.019375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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