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Simplifying -1x2 + 2(3.14) * x + -33 = 0 Multiply 2 * 3.14 -1x2 + 6.28x + -33 = 0 Reorder the terms: -33 + 6.28x + -1x2 = 0 Solving -33 + 6.28x + -1x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 33 + -6.28x + x2 = 0 Move the constant term to the right: Add '-33' to each side of the equation. 33 + -6.28x + -33 + x2 = 0 + -33 Reorder the terms: 33 + -33 + -6.28x + x2 = 0 + -33 Combine like terms: 33 + -33 = 0 0 + -6.28x + x2 = 0 + -33 -6.28x + x2 = 0 + -33 Combine like terms: 0 + -33 = -33 -6.28x + x2 = -33 The x term is -6.28x. Take half its coefficient (-3.14). Square it (9.8596) and add it to both sides. Add '9.8596' to each side of the equation. -6.28x + 9.8596 + x2 = -33 + 9.8596 Reorder the terms: 9.8596 + -6.28x + x2 = -33 + 9.8596 Combine like terms: -33 + 9.8596 = -23.1404 9.8596 + -6.28x + x2 = -23.1404 Factor a perfect square on the left side: (x + -3.14)(x + -3.14) = -23.1404 Can't calculate square root of the right side. The solution to this equation could not be determined.
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