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Simplifying 20x2 + -14x + 3 = 0 Reorder the terms: 3 + -14x + 20x2 = 0 Solving 3 + -14x + 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'. 0.15 + -0.7x + x2 = 0 Move the constant term to the right: Add '-0.15' to each side of the equation. 0.15 + -0.7x + -0.15 + x2 = 0 + -0.15 Reorder the terms: 0.15 + -0.15 + -0.7x + x2 = 0 + -0.15 Combine like terms: 0.15 + -0.15 = 0.00 0.00 + -0.7x + x2 = 0 + -0.15 -0.7x + x2 = 0 + -0.15 Combine like terms: 0 + -0.15 = -0.15 -0.7x + x2 = -0.15 The x term is -0.7x. Take half its coefficient (-0.35). Square it (0.1225) and add it to both sides. Add '0.1225' to each side of the equation. -0.7x + 0.1225 + x2 = -0.15 + 0.1225 Reorder the terms: 0.1225 + -0.7x + x2 = -0.15 + 0.1225 Combine like terms: -0.15 + 0.1225 = -0.0275 0.1225 + -0.7x + x2 = -0.0275 Factor a perfect square on the left side: (x + -0.35)(x + -0.35) = -0.0275 Can't calculate square root of the right side. The solution to this equation could not be determined.
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