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Simplifying x + x + 2 + x + 4 = 3x2 + 56 Reorder the terms: 2 + 4 + x + x + x = 3x2 + 56 Combine like terms: 2 + 4 = 6 6 + x + x + x = 3x2 + 56 Combine like terms: x + x = 2x 6 + 2x + x = 3x2 + 56 Combine like terms: 2x + x = 3x 6 + 3x = 3x2 + 56 Reorder the terms: 6 + 3x = 56 + 3x2 Solving 6 + 3x = 56 + 3x2 Solving for variable 'x'. Reorder the terms: 6 + -56 + 3x + -3x2 = 56 + 3x2 + -56 + -3x2 Combine like terms: 6 + -56 = -50 -50 + 3x + -3x2 = 56 + 3x2 + -56 + -3x2 Reorder the terms: -50 + 3x + -3x2 = 56 + -56 + 3x2 + -3x2 Combine like terms: 56 + -56 = 0 -50 + 3x + -3x2 = 0 + 3x2 + -3x2 -50 + 3x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -50 + 3x + -3x2 = 0 Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. 16.66666667 + -1x + x2 = 0 Move the constant term to the right: Add '-16.66666667' to each side of the equation. 16.66666667 + -1x + -16.66666667 + x2 = 0 + -16.66666667 Reorder the terms: 16.66666667 + -16.66666667 + -1x + x2 = 0 + -16.66666667 Combine like terms: 16.66666667 + -16.66666667 = 0.00000000 0.00000000 + -1x + x2 = 0 + -16.66666667 -1x + x2 = 0 + -16.66666667 Combine like terms: 0 + -16.66666667 = -16.66666667 -1x + x2 = -16.66666667 The x term is -1x. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1x + 0.25 + x2 = -16.66666667 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -16.66666667 + 0.25 Combine like terms: -16.66666667 + 0.25 = -16.41666667 0.25 + -1x + x2 = -16.41666667 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -16.41666667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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