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Simplifying -20x2 + 28x + -35 = 0 Reorder the terms: -35 + 28x + -20x2 = 0 Solving -35 + 28x + -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'. 1.75 + -1.4x + x2 = 0 Move the constant term to the right: Add '-1.75' to each side of the equation. 1.75 + -1.4x + -1.75 + x2 = 0 + -1.75 Reorder the terms: 1.75 + -1.75 + -1.4x + x2 = 0 + -1.75 Combine like terms: 1.75 + -1.75 = 0.00 0.00 + -1.4x + x2 = 0 + -1.75 -1.4x + x2 = 0 + -1.75 Combine like terms: 0 + -1.75 = -1.75 -1.4x + x2 = -1.75 The x term is -1.4x. Take half its coefficient (-0.7). Square it (0.49) and add it to both sides. Add '0.49' to each side of the equation. -1.4x + 0.49 + x2 = -1.75 + 0.49 Reorder the terms: 0.49 + -1.4x + x2 = -1.75 + 0.49 Combine like terms: -1.75 + 0.49 = -1.26 0.49 + -1.4x + x2 = -1.26 Factor a perfect square on the left side: (x + -0.7)(x + -0.7) = -1.26 Can't calculate square root of the right side. The solution to this equation could not be determined.
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