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Simplifying (5x2 + -7x + 9) + -1(-2x2 + -3x + 2) = 0 Reorder the terms: (9 + -7x + 5x2) + -1(-2x2 + -3x + 2) = 0 Remove parenthesis around (9 + -7x + 5x2) 9 + -7x + 5x2 + -1(-2x2 + -3x + 2) = 0 Reorder the terms: 9 + -7x + 5x2 + -1(2 + -3x + -2x2) = 0 9 + -7x + 5x2 + (2 * -1 + -3x * -1 + -2x2 * -1) = 0 9 + -7x + 5x2 + (-2 + 3x + 2x2) = 0 Reorder the terms: 9 + -2 + -7x + 3x + 5x2 + 2x2 = 0 Combine like terms: 9 + -2 = 7 7 + -7x + 3x + 5x2 + 2x2 = 0 Combine like terms: -7x + 3x = -4x 7 + -4x + 5x2 + 2x2 = 0 Combine like terms: 5x2 + 2x2 = 7x2 7 + -4x + 7x2 = 0 Solving 7 + -4x + 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'. 1 + -0.5714285714x + x2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -0.5714285714x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + -0.5714285714x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -0.5714285714x + x2 = 0 + -1 -0.5714285714x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -0.5714285714x + x2 = -1 The x term is -0.5714285714x. Take half its coefficient (-0.2857142857). Square it (0.08163265305) and add it to both sides. Add '0.08163265305' to each side of the equation. -0.5714285714x + 0.08163265305 + x2 = -1 + 0.08163265305 Reorder the terms: 0.08163265305 + -0.5714285714x + x2 = -1 + 0.08163265305 Combine like terms: -1 + 0.08163265305 = -0.91836734695 0.08163265305 + -0.5714285714x + x2 = -0.91836734695 Factor a perfect square on the left side: (x + -0.2857142857)(x + -0.2857142857) = -0.91836734695 Can't calculate square root of the right side. The solution to this equation could not be determined.
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