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Simplifying 20x + (4x + -3)(2x + -3) = 0 Reorder the terms: 20x + (-3 + 4x)(2x + -3) = 0 Reorder the terms: 20x + (-3 + 4x)(-3 + 2x) = 0 Multiply (-3 + 4x) * (-3 + 2x) 20x + (-3(-3 + 2x) + 4x * (-3 + 2x)) = 0 20x + ((-3 * -3 + 2x * -3) + 4x * (-3 + 2x)) = 0 20x + ((9 + -6x) + 4x * (-3 + 2x)) = 0 20x + (9 + -6x + (-3 * 4x + 2x * 4x)) = 0 20x + (9 + -6x + (-12x + 8x2)) = 0 Combine like terms: -6x + -12x = -18x 20x + (9 + -18x + 8x2) = 0 Reorder the terms: 9 + 20x + -18x + 8x2 = 0 Combine like terms: 20x + -18x = 2x 9 + 2x + 8x2 = 0 Solving 9 + 2x + 8x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 1.125 + 0.25x + x2 = 0 Move the constant term to the right: Add '-1.125' to each side of the equation. 1.125 + 0.25x + -1.125 + x2 = 0 + -1.125 Reorder the terms: 1.125 + -1.125 + 0.25x + x2 = 0 + -1.125 Combine like terms: 1.125 + -1.125 = 0.000 0.000 + 0.25x + x2 = 0 + -1.125 0.25x + x2 = 0 + -1.125 Combine like terms: 0 + -1.125 = -1.125 0.25x + x2 = -1.125 The x term is 0.25x. Take half its coefficient (0.125). Square it (0.015625) and add it to both sides. Add '0.015625' to each side of the equation. 0.25x + 0.015625 + x2 = -1.125 + 0.015625 Reorder the terms: 0.015625 + 0.25x + x2 = -1.125 + 0.015625 Combine like terms: -1.125 + 0.015625 = -1.109375 0.015625 + 0.25x + x2 = -1.109375 Factor a perfect square on the left side: (x + 0.125)(x + 0.125) = -1.109375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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