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Simplifying 1165 + 70x + 2x2 = 0 Solving 1165 + 70x + 2x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 582.5 + 35x + x2 = 0 Move the constant term to the right: Add '-582.5' to each side of the equation. 582.5 + 35x + -582.5 + x2 = 0 + -582.5 Reorder the terms: 582.5 + -582.5 + 35x + x2 = 0 + -582.5 Combine like terms: 582.5 + -582.5 = 0.0 0.0 + 35x + x2 = 0 + -582.5 35x + x2 = 0 + -582.5 Combine like terms: 0 + -582.5 = -582.5 35x + x2 = -582.5 The x term is 35x. Take half its coefficient (17.5). Square it (306.25) and add it to both sides. Add '306.25' to each side of the equation. 35x + 306.25 + x2 = -582.5 + 306.25 Reorder the terms: 306.25 + 35x + x2 = -582.5 + 306.25 Combine like terms: -582.5 + 306.25 = -276.25 306.25 + 35x + x2 = -276.25 Factor a perfect square on the left side: (x + 17.5)(x + 17.5) = -276.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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