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Simplifying (3x2 + -4x + 1) + -1(-1x2 + x + -9) = 0 Reorder the terms: (1 + -4x + 3x2) + -1(-1x2 + x + -9) = 0 Remove parenthesis around (1 + -4x + 3x2) 1 + -4x + 3x2 + -1(-1x2 + x + -9) = 0 Reorder the terms: 1 + -4x + 3x2 + -1(-9 + x + -1x2) = 0 1 + -4x + 3x2 + (-9 * -1 + x * -1 + -1x2 * -1) = 0 1 + -4x + 3x2 + (9 + -1x + 1x2) = 0 Reorder the terms: 1 + 9 + -4x + -1x + 3x2 + 1x2 = 0 Combine like terms: 1 + 9 = 10 10 + -4x + -1x + 3x2 + 1x2 = 0 Combine like terms: -4x + -1x = -5x 10 + -5x + 3x2 + 1x2 = 0 Combine like terms: 3x2 + 1x2 = 4x2 10 + -5x + 4x2 = 0 Solving 10 + -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'. 2.5 + -1.25x + x2 = 0 Move the constant term to the right: Add '-2.5' to each side of the equation. 2.5 + -1.25x + -2.5 + x2 = 0 + -2.5 Reorder the terms: 2.5 + -2.5 + -1.25x + x2 = 0 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + -1.25x + x2 = 0 + -2.5 -1.25x + x2 = 0 + -2.5 Combine like terms: 0 + -2.5 = -2.5 -1.25x + x2 = -2.5 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 = -2.5 + 0.390625 Reorder the terms: 0.390625 + -1.25x + x2 = -2.5 + 0.390625 Combine like terms: -2.5 + 0.390625 = -2.109375 0.390625 + -1.25x + x2 = -2.109375 Factor a perfect square on the left side: (x + -0.625)(x + -0.625) = -2.109375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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