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Simplifying 3(3x + 4) + 4x(x + -1) = 0 Reorder the terms: 3(4 + 3x) + 4x(x + -1) = 0 (4 * 3 + 3x * 3) + 4x(x + -1) = 0 (12 + 9x) + 4x(x + -1) = 0 Reorder the terms: 12 + 9x + 4x(-1 + x) = 0 12 + 9x + (-1 * 4x + x * 4x) = 0 12 + 9x + (-4x + 4x2) = 0 Combine like terms: 9x + -4x = 5x 12 + 5x + 4x2 = 0 Solving 12 + 5x + 4x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 3 + 1.25x + x2 = 0 Move the constant term to the right: Add '-3' to each side of the equation. 3 + 1.25x + -3 + x2 = 0 + -3 Reorder the terms: 3 + -3 + 1.25x + x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 1.25x + x2 = 0 + -3 1.25x + x2 = 0 + -3 Combine like terms: 0 + -3 = -3 1.25x + x2 = -3 The x term is 1.25x. Take half its coefficient (0.625). Square it (0.390625) and add it to both sides. Add '0.390625' to each side of the equation. 1.25x + 0.390625 + x2 = -3 + 0.390625 Reorder the terms: 0.390625 + 1.25x + x2 = -3 + 0.390625 Combine like terms: -3 + 0.390625 = -2.609375 0.390625 + 1.25x + x2 = -2.609375 Factor a perfect square on the left side: (x + 0.625)(x + 0.625) = -2.609375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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