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Simplifying 0.1x2 + x + 75 = 0 Reorder the terms: 75 + x + 0.1x2 = 0 Solving 75 + x + 0.1x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.1 the coefficient of the squared term: Divide each side by '0.1'. 750 + 10x + x2 = 0 Move the constant term to the right: Add '-750' to each side of the equation. 750 + 10x + -750 + x2 = 0 + -750 Reorder the terms: 750 + -750 + 10x + x2 = 0 + -750 Combine like terms: 750 + -750 = 0 0 + 10x + x2 = 0 + -750 10x + x2 = 0 + -750 Combine like terms: 0 + -750 = -750 10x + x2 = -750 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. 10x + 0.25 + x2 = -750 + 0.25 Reorder the terms: 0.25 + 10x + x2 = -750 + 0.25 Combine like terms: -750 + 0.25 = -749.75 0.25 + 10x + x2 = -749.75 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -749.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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