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Simplifying 4x(3 + -2x) + 2x = 9 (3 * 4x + -2x * 4x) + 2x = 9 (12x + -8x2) + 2x = 9 Reorder the terms: 12x + 2x + -8x2 = 9 Combine like terms: 12x + 2x = 14x 14x + -8x2 = 9 Solving 14x + -8x2 = 9 Solving for variable 'x'. Reorder the terms: -9 + 14x + -8x2 = 9 + -9 Combine like terms: 9 + -9 = 0 -9 + 14x + -8x2 = 0 Begin completing the square. Divide all terms by -8 the coefficient of the squared term: Divide each side by '-8'. 1.125 + -1.75x + x2 = 0 Move the constant term to the right: Add '-1.125' to each side of the equation. 1.125 + -1.75x + -1.125 + x2 = 0 + -1.125 Reorder the terms: 1.125 + -1.125 + -1.75x + x2 = 0 + -1.125 Combine like terms: 1.125 + -1.125 = 0.000 0.000 + -1.75x + x2 = 0 + -1.125 -1.75x + x2 = 0 + -1.125 Combine like terms: 0 + -1.125 = -1.125 -1.75x + x2 = -1.125 The x term is -1.75x. Take half its coefficient (-0.875). Square it (0.765625) and add it to both sides. Add '0.765625' to each side of the equation. -1.75x + 0.765625 + x2 = -1.125 + 0.765625 Reorder the terms: 0.765625 + -1.75x + x2 = -1.125 + 0.765625 Combine like terms: -1.125 + 0.765625 = -0.359375 0.765625 + -1.75x + x2 = -0.359375 Factor a perfect square on the left side: (x + -0.875)(x + -0.875) = -0.359375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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