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Simplifying g(0) + 8 = x + -2x2 Reorder the terms for easier multiplication: 0g + 8 = x + -2x2 Anything times zero is zero. 0g + 8 = x + -2x2 Combine like terms: 0 + 8 = 8 8 = x + -2x2 Solving 8 = x + -2x2 Solving for variable 'x'. Reorder the terms: 8 + -1x + 2x2 = x + -1x + -2x2 + 2x2 Combine like terms: x + -1x = 0 8 + -1x + 2x2 = 0 + -2x2 + 2x2 8 + -1x + 2x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 8 + -1x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 4 + -0.5x + x2 = 0 Move the constant term to the right: Add '-4' to each side of the equation. 4 + -0.5x + -4 + x2 = 0 + -4 Reorder the terms: 4 + -4 + -0.5x + x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -0.5x + x2 = 0 + -4 -0.5x + x2 = 0 + -4 Combine like terms: 0 + -4 = -4 -0.5x + x2 = -4 The x term is -0.5x. Take half its coefficient (-0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. -0.5x + 0.0625 + x2 = -4 + 0.0625 Reorder the terms: 0.0625 + -0.5x + x2 = -4 + 0.0625 Combine like terms: -4 + 0.0625 = -3.9375 0.0625 + -0.5x + x2 = -3.9375 Factor a perfect square on the left side: (x + -0.25)(x + -0.25) = -3.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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