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Simplifying 18x2 + 5 + -1[8(x2 + -6) + 9] = x Reorder the terms: 18x2 + 5 + -1[8(-6 + x2) + 9] = x 18x2 + 5 + -1[(-6 * 8 + x2 * 8) + 9] = x 18x2 + 5 + -1[(-48 + 8x2) + 9] = x Reorder the terms: 18x2 + 5 + -1[-48 + 9 + 8x2] = x Combine like terms: -48 + 9 = -39 18x2 + 5 + -1[-39 + 8x2] = x 18x2 + 5 + [-39 * -1 + 8x2 * -1] = x 18x2 + 5 + [39 + -8x2] = x Reorder the terms: 5 + 39 + 18x2 + -8x2 = x Combine like terms: 5 + 39 = 44 44 + 18x2 + -8x2 = x Combine like terms: 18x2 + -8x2 = 10x2 44 + 10x2 = x Solving 44 + 10x2 = x Solving for variable 'x'. Reorder the terms: 44 + -1x + 10x2 = x + -1x Combine like terms: x + -1x = 0 44 + -1x + 10x2 = 0 Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 4.4 + -0.1x + x2 = 0.0 Move the constant term to the right: Add '-4.4' to each side of the equation. 4.4 + -0.1x + -4.4 + x2 = 0.0 + -4.4 Reorder the terms: 4.4 + -4.4 + -0.1x + x2 = 0.0 + -4.4 Combine like terms: 4.4 + -4.4 = 0.0 0.0 + -0.1x + x2 = 0.0 + -4.4 -0.1x + x2 = 0.0 + -4.4 Combine like terms: 0.0 + -4.4 = -4.4 -0.1x + x2 = -4.4 The x term is -0.1x. Take half its coefficient (-0.05). Square it (0.0025) and add it to both sides. Add '0.0025' to each side of the equation. -0.1x + 0.0025 + x2 = -4.4 + 0.0025 Reorder the terms: 0.0025 + -0.1x + x2 = -4.4 + 0.0025 Combine like terms: -4.4 + 0.0025 = -4.3975 0.0025 + -0.1x + x2 = -4.3975 Factor a perfect square on the left side: (x + -0.05)(x + -0.05) = -4.3975 Can't calculate square root of the right side. The solution to this equation could not be determined.
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