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Simplifying 7x(2 + 4x) = 3x + -2 (2 * 7x + 4x * 7x) = 3x + -2 (14x + 28x2) = 3x + -2 Reorder the terms: 14x + 28x2 = -2 + 3x Solving 14x + 28x2 = -2 + 3x Solving for variable 'x'. Reorder the terms: 2 + 14x + -3x + 28x2 = -2 + 3x + 2 + -3x Combine like terms: 14x + -3x = 11x 2 + 11x + 28x2 = -2 + 3x + 2 + -3x Reorder the terms: 2 + 11x + 28x2 = -2 + 2 + 3x + -3x Combine like terms: -2 + 2 = 0 2 + 11x + 28x2 = 0 + 3x + -3x 2 + 11x + 28x2 = 3x + -3x Combine like terms: 3x + -3x = 0 2 + 11x + 28x2 = 0 Begin completing the square. Divide all terms by 28 the coefficient of the squared term: Divide each side by '28'. 0.07142857143 + 0.3928571429x + x2 = 0 Move the constant term to the right: Add '-0.07142857143' to each side of the equation. 0.07142857143 + 0.3928571429x + -0.07142857143 + x2 = 0 + -0.07142857143 Reorder the terms: 0.07142857143 + -0.07142857143 + 0.3928571429x + x2 = 0 + -0.07142857143 Combine like terms: 0.07142857143 + -0.07142857143 = 0.00000000000 0.00000000000 + 0.3928571429x + x2 = 0 + -0.07142857143 0.3928571429x + x2 = 0 + -0.07142857143 Combine like terms: 0 + -0.07142857143 = -0.07142857143 0.3928571429x + x2 = -0.07142857143 The x term is 0.3928571429x. Take half its coefficient (0.1964285715). Square it (0.03858418370) and add it to both sides. Add '0.03858418370' to each side of the equation. 0.3928571429x + 0.03858418370 + x2 = -0.07142857143 + 0.03858418370 Reorder the terms: 0.03858418370 + 0.3928571429x + x2 = -0.07142857143 + 0.03858418370 Combine like terms: -0.07142857143 + 0.03858418370 = -0.03284438773 0.03858418370 + 0.3928571429x + x2 = -0.03284438773 Factor a perfect square on the left side: (x + 0.1964285715)(x + 0.1964285715) = -0.03284438773 Can't calculate square root of the right side. The solution to this equation could not be determined.
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