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Simplifying (4x + 3) + 7x(4x + 3) = 16x + -1 Reorder the terms: (3 + 4x) + 7x(4x + 3) = 16x + -1 Remove parenthesis around (3 + 4x) 3 + 4x + 7x(4x + 3) = 16x + -1 Reorder the terms: 3 + 4x + 7x(3 + 4x) = 16x + -1 3 + 4x + (3 * 7x + 4x * 7x) = 16x + -1 3 + 4x + (21x + 28x2) = 16x + -1 Combine like terms: 4x + 21x = 25x 3 + 25x + 28x2 = 16x + -1 Reorder the terms: 3 + 25x + 28x2 = -1 + 16x Solving 3 + 25x + 28x2 = -1 + 16x Solving for variable 'x'. Reorder the terms: 3 + 1 + 25x + -16x + 28x2 = -1 + 16x + 1 + -16x Combine like terms: 3 + 1 = 4 4 + 25x + -16x + 28x2 = -1 + 16x + 1 + -16x Combine like terms: 25x + -16x = 9x 4 + 9x + 28x2 = -1 + 16x + 1 + -16x Reorder the terms: 4 + 9x + 28x2 = -1 + 1 + 16x + -16x Combine like terms: -1 + 1 = 0 4 + 9x + 28x2 = 0 + 16x + -16x 4 + 9x + 28x2 = 16x + -16x Combine like terms: 16x + -16x = 0 4 + 9x + 28x2 = 0 Begin completing the square. Divide all terms by 28 the coefficient of the squared term: Divide each side by '28'. 0.1428571429 + 0.3214285714x + x2 = 0 Move the constant term to the right: Add '-0.1428571429' to each side of the equation. 0.1428571429 + 0.3214285714x + -0.1428571429 + x2 = 0 + -0.1428571429 Reorder the terms: 0.1428571429 + -0.1428571429 + 0.3214285714x + x2 = 0 + -0.1428571429 Combine like terms: 0.1428571429 + -0.1428571429 = 0.0000000000 0.0000000000 + 0.3214285714x + x2 = 0 + -0.1428571429 0.3214285714x + x2 = 0 + -0.1428571429 Combine like terms: 0 + -0.1428571429 = -0.1428571429 0.3214285714x + x2 = -0.1428571429 The x term is 0.3214285714x. Take half its coefficient (0.1607142857). Square it (0.02582908163) and add it to both sides. Add '0.02582908163' to each side of the equation. 0.3214285714x + 0.02582908163 + x2 = -0.1428571429 + 0.02582908163 Reorder the terms: 0.02582908163 + 0.3214285714x + x2 = -0.1428571429 + 0.02582908163 Combine like terms: -0.1428571429 + 0.02582908163 = -0.11702806127 0.02582908163 + 0.3214285714x + x2 = -0.11702806127 Factor a perfect square on the left side: (x + 0.1607142857)(x + 0.1607142857) = -0.11702806127 Can't calculate square root of the right side. The solution to this equation could not be determined.
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