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Simplifying -8x2 + x + -16 = 10x2 + -10 Reorder the terms: -16 + x + -8x2 = 10x2 + -10 Reorder the terms: -16 + x + -8x2 = -10 + 10x2 Solving -16 + x + -8x2 = -10 + 10x2 Solving for variable 'x'. Reorder the terms: -16 + 10 + x + -8x2 + -10x2 = -10 + 10x2 + 10 + -10x2 Combine like terms: -16 + 10 = -6 -6 + x + -8x2 + -10x2 = -10 + 10x2 + 10 + -10x2 Combine like terms: -8x2 + -10x2 = -18x2 -6 + x + -18x2 = -10 + 10x2 + 10 + -10x2 Reorder the terms: -6 + x + -18x2 = -10 + 10 + 10x2 + -10x2 Combine like terms: -10 + 10 = 0 -6 + x + -18x2 = 0 + 10x2 + -10x2 -6 + x + -18x2 = 10x2 + -10x2 Combine like terms: 10x2 + -10x2 = 0 -6 + x + -18x2 = 0 Begin completing the square. Divide all terms by -18 the coefficient of the squared term: Divide each side by '-18'. 0.3333333333 + -0.05555555556x + x2 = 0 Move the constant term to the right: Add '-0.3333333333' to each side of the equation. 0.3333333333 + -0.05555555556x + -0.3333333333 + x2 = 0 + -0.3333333333 Reorder the terms: 0.3333333333 + -0.3333333333 + -0.05555555556x + x2 = 0 + -0.3333333333 Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000 0.0000000000 + -0.05555555556x + x2 = 0 + -0.3333333333 -0.05555555556x + x2 = 0 + -0.3333333333 Combine like terms: 0 + -0.3333333333 = -0.3333333333 -0.05555555556x + x2 = -0.3333333333 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -0.05555555556x + 0.25 + x2 = -0.3333333333 + 0.25 Reorder the terms: 0.25 + -0.05555555556x + x2 = -0.3333333333 + 0.25 Combine like terms: -0.3333333333 + 0.25 = -0.0833333333 0.25 + -0.05555555556x + x2 = -0.0833333333 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -0.0833333333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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