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Simplifying (2x2 + -2x + 2) + (-9x2 + 7x + -7) = 0 Reorder the terms: (2 + -2x + 2x2) + (-9x2 + 7x + -7) = 0 Remove parenthesis around (2 + -2x + 2x2) 2 + -2x + 2x2 + (-9x2 + 7x + -7) = 0 Reorder the terms: 2 + -2x + 2x2 + (-7 + 7x + -9x2) = 0 Remove parenthesis around (-7 + 7x + -9x2) 2 + -2x + 2x2 + -7 + 7x + -9x2 = 0 Reorder the terms: 2 + -7 + -2x + 7x + 2x2 + -9x2 = 0 Combine like terms: 2 + -7 = -5 -5 + -2x + 7x + 2x2 + -9x2 = 0 Combine like terms: -2x + 7x = 5x -5 + 5x + 2x2 + -9x2 = 0 Combine like terms: 2x2 + -9x2 = -7x2 -5 + 5x + -7x2 = 0 Solving -5 + 5x + -7x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -7 the coefficient of the squared term: Divide each side by '-7'. 0.7142857143 + -0.7142857143x + x2 = 0 Move the constant term to the right: Add '-0.7142857143' to each side of the equation. 0.7142857143 + -0.7142857143x + -0.7142857143 + x2 = 0 + -0.7142857143 Reorder the terms: 0.7142857143 + -0.7142857143 + -0.7142857143x + x2 = 0 + -0.7142857143 Combine like terms: 0.7142857143 + -0.7142857143 = 0.0000000000 0.0000000000 + -0.7142857143x + x2 = 0 + -0.7142857143 -0.7142857143x + x2 = 0 + -0.7142857143 Combine like terms: 0 + -0.7142857143 = -0.7142857143 -0.7142857143x + x2 = -0.7142857143 The x term is -0.7142857143x. Take half its coefficient (-0.3571428572). Square it (0.1275510204) and add it to both sides. Add '0.1275510204' to each side of the equation. -0.7142857143x + 0.1275510204 + x2 = -0.7142857143 + 0.1275510204 Reorder the terms: 0.1275510204 + -0.7142857143x + x2 = -0.7142857143 + 0.1275510204 Combine like terms: -0.7142857143 + 0.1275510204 = -0.5867346939 0.1275510204 + -0.7142857143x + x2 = -0.5867346939 Factor a perfect square on the left side: (x + -0.3571428572)(x + -0.3571428572) = -0.5867346939 Can't calculate square root of the right side. The solution to this equation could not be determined.
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