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Simplifying 6x + 14 + 2(x2 + x + -1) = -63 Reorder the terms: 6x + 14 + 2(-1 + x + x2) = -63 6x + 14 + (-1 * 2 + x * 2 + x2 * 2) = -63 6x + 14 + (-2 + 2x + 2x2) = -63 Reorder the terms: 14 + -2 + 6x + 2x + 2x2 = -63 Combine like terms: 14 + -2 = 12 12 + 6x + 2x + 2x2 = -63 Combine like terms: 6x + 2x = 8x 12 + 8x + 2x2 = -63 Solving 12 + 8x + 2x2 = -63 Solving for variable 'x'. Reorder the terms: 12 + 63 + 8x + 2x2 = -63 + 63 Combine like terms: 12 + 63 = 75 75 + 8x + 2x2 = -63 + 63 Combine like terms: -63 + 63 = 0 75 + 8x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 37.5 + 4x + x2 = 0 Move the constant term to the right: Add '-37.5' to each side of the equation. 37.5 + 4x + -37.5 + x2 = 0 + -37.5 Reorder the terms: 37.5 + -37.5 + 4x + x2 = 0 + -37.5 Combine like terms: 37.5 + -37.5 = 0.0 0.0 + 4x + x2 = 0 + -37.5 4x + x2 = 0 + -37.5 Combine like terms: 0 + -37.5 = -37.5 4x + x2 = -37.5 The x term is 4x. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4x + 4 + x2 = -37.5 + 4 Reorder the terms: 4 + 4x + x2 = -37.5 + 4 Combine like terms: -37.5 + 4 = -33.5 4 + 4x + x2 = -33.5 Factor a perfect square on the left side: (x + 2)(x + 2) = -33.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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