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Simplifying 10x2 + 5x + 8 = 2 Reorder the terms: 8 + 5x + 10x2 = 2 Solving 8 + 5x + 10x2 = 2 Solving for variable 'x'. Reorder the terms: 8 + -2 + 5x + 10x2 = 2 + -2 Combine like terms: 8 + -2 = 6 6 + 5x + 10x2 = 2 + -2 Combine like terms: 2 + -2 = 0 6 + 5x + 10x2 = 0 Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 0.6 + 0.5x + x2 = 0 Move the constant term to the right: Add '-0.6' to each side of the equation. 0.6 + 0.5x + -0.6 + x2 = 0 + -0.6 Reorder the terms: 0.6 + -0.6 + 0.5x + x2 = 0 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + 0.5x + x2 = 0 + -0.6 0.5x + x2 = 0 + -0.6 Combine like terms: 0 + -0.6 = -0.6 0.5x + x2 = -0.6 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 = -0.6 + 0.0625 Reorder the terms: 0.0625 + 0.5x + x2 = -0.6 + 0.0625 Combine like terms: -0.6 + 0.0625 = -0.5375 0.0625 + 0.5x + x2 = -0.5375 Factor a perfect square on the left side: (x + 0.25)(x + 0.25) = -0.5375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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