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Simplifying -1(7x + -4) * 5x + -7 = -3 Reorder the terms: -1(-4 + 7x) * 5x + -7 = -3 Reorder the terms for easier multiplication: -1 * 5x(-4 + 7x) + -7 = -3 Multiply -1 * 5 -5x(-4 + 7x) + -7 = -3 (-4 * -5x + 7x * -5x) + -7 = -3 (20x + -35x2) + -7 = -3 Reorder the terms: -7 + 20x + -35x2 = -3 Solving -7 + 20x + -35x2 = -3 Solving for variable 'x'. Reorder the terms: -7 + 3 + 20x + -35x2 = -3 + 3 Combine like terms: -7 + 3 = -4 -4 + 20x + -35x2 = -3 + 3 Combine like terms: -3 + 3 = 0 -4 + 20x + -35x2 = 0 Begin completing the square. Divide all terms by -35 the coefficient of the squared term: Divide each side by '-35'. 0.1142857143 + -0.5714285714x + x2 = 0 Move the constant term to the right: Add '-0.1142857143' to each side of the equation. 0.1142857143 + -0.5714285714x + -0.1142857143 + x2 = 0 + -0.1142857143 Reorder the terms: 0.1142857143 + -0.1142857143 + -0.5714285714x + x2 = 0 + -0.1142857143 Combine like terms: 0.1142857143 + -0.1142857143 = 0.0000000000 0.0000000000 + -0.5714285714x + x2 = 0 + -0.1142857143 -0.5714285714x + x2 = 0 + -0.1142857143 Combine like terms: 0 + -0.1142857143 = -0.1142857143 -0.5714285714x + x2 = -0.1142857143 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 = -0.1142857143 + 0.08163265305 Reorder the terms: 0.08163265305 + -0.5714285714x + x2 = -0.1142857143 + 0.08163265305 Combine like terms: -0.1142857143 + 0.08163265305 = -0.03265306125 0.08163265305 + -0.5714285714x + x2 = -0.03265306125 Factor a perfect square on the left side: (x + -0.2857142857)(x + -0.2857142857) = -0.03265306125 Can't calculate square root of the right side. The solution to this equation could not be determined.
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