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Simplifying -10x2 + 5x + -69 = 0 Reorder the terms: -69 + 5x + -10x2 = 0 Solving -69 + 5x + -10x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -10 the coefficient of the squared term: Divide each side by '-10'. 6.9 + -0.5x + x2 = 0 Move the constant term to the right: Add '-6.9' to each side of the equation. 6.9 + -0.5x + -6.9 + x2 = 0 + -6.9 Reorder the terms: 6.9 + -6.9 + -0.5x + x2 = 0 + -6.9 Combine like terms: 6.9 + -6.9 = 0.0 0.0 + -0.5x + x2 = 0 + -6.9 -0.5x + x2 = 0 + -6.9 Combine like terms: 0 + -6.9 = -6.9 -0.5x + x2 = -6.9 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 = -6.9 + 0.0625 Reorder the terms: 0.0625 + -0.5x + x2 = -6.9 + 0.0625 Combine like terms: -6.9 + 0.0625 = -6.8375 0.0625 + -0.5x + x2 = -6.8375 Factor a perfect square on the left side: (x + -0.25)(x + -0.25) = -6.8375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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