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Simplifying 18x2 + 2 = -9x Reorder the terms: 2 + 18x2 = -9x Solving 2 + 18x2 = -9x Solving for variable 'x'. Reorder the terms: 2 + 9x + 18x2 = -9x + 9x Combine like terms: -9x + 9x = 0 2 + 9x + 18x2 = 0 Begin completing the square. Divide all terms by 18 the coefficient of the squared term: Divide each side by '18'. 0.1111111111 + 0.5x + x2 = 0 Move the constant term to the right: Add '-0.1111111111' to each side of the equation. 0.1111111111 + 0.5x + -0.1111111111 + x2 = 0 + -0.1111111111 Reorder the terms: 0.1111111111 + -0.1111111111 + 0.5x + x2 = 0 + -0.1111111111 Combine like terms: 0.1111111111 + -0.1111111111 = 0.0000000000 0.0000000000 + 0.5x + x2 = 0 + -0.1111111111 0.5x + x2 = 0 + -0.1111111111 Combine like terms: 0 + -0.1111111111 = -0.1111111111 0.5x + x2 = -0.1111111111 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 = -0.1111111111 + 0.0625 Reorder the terms: 0.0625 + 0.5x + x2 = -0.1111111111 + 0.0625 Combine like terms: -0.1111111111 + 0.0625 = -0.0486111111 0.0625 + 0.5x + x2 = -0.0486111111 Factor a perfect square on the left side: (x + 0.25)(x + 0.25) = -0.0486111111 Can't calculate square root of the right side. The solution to this equation could not be determined.
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