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Simplifying 3x2 + 10 + x2 + -5 = -3x + -21 Reorder the terms: 10 + -5 + 3x2 + x2 = -3x + -21 Combine like terms: 10 + -5 = 5 5 + 3x2 + x2 = -3x + -21 Combine like terms: 3x2 + x2 = 4x2 5 + 4x2 = -3x + -21 Reorder the terms: 5 + 4x2 = -21 + -3x Solving 5 + 4x2 = -21 + -3x Solving for variable 'x'. Reorder the terms: 5 + 21 + 3x + 4x2 = -21 + -3x + 21 + 3x Combine like terms: 5 + 21 = 26 26 + 3x + 4x2 = -21 + -3x + 21 + 3x Reorder the terms: 26 + 3x + 4x2 = -21 + 21 + -3x + 3x Combine like terms: -21 + 21 = 0 26 + 3x + 4x2 = 0 + -3x + 3x 26 + 3x + 4x2 = -3x + 3x Combine like terms: -3x + 3x = 0 26 + 3x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 6.5 + 0.75x + x2 = 0 Move the constant term to the right: Add '-6.5' to each side of the equation. 6.5 + 0.75x + -6.5 + x2 = 0 + -6.5 Reorder the terms: 6.5 + -6.5 + 0.75x + x2 = 0 + -6.5 Combine like terms: 6.5 + -6.5 = 0.0 0.0 + 0.75x + x2 = 0 + -6.5 0.75x + x2 = 0 + -6.5 Combine like terms: 0 + -6.5 = -6.5 0.75x + x2 = -6.5 The x term is 0.75x. Take half its coefficient (0.375). Square it (0.140625) and add it to both sides. Add '0.140625' to each side of the equation. 0.75x + 0.140625 + x2 = -6.5 + 0.140625 Reorder the terms: 0.140625 + 0.75x + x2 = -6.5 + 0.140625 Combine like terms: -6.5 + 0.140625 = -6.359375 0.140625 + 0.75x + x2 = -6.359375 Factor a perfect square on the left side: (x + 0.375)(x + 0.375) = -6.359375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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