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Simplifying -61 + 18x + -2x2 = 0 Solving -61 + 18x + -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'. 30.5 + -9x + x2 = 0 Move the constant term to the right: Add '-30.5' to each side of the equation. 30.5 + -9x + -30.5 + x2 = 0 + -30.5 Reorder the terms: 30.5 + -30.5 + -9x + x2 = 0 + -30.5 Combine like terms: 30.5 + -30.5 = 0.0 0.0 + -9x + x2 = 0 + -30.5 -9x + x2 = 0 + -30.5 Combine like terms: 0 + -30.5 = -30.5 -9x + x2 = -30.5 The x term is -9x. Take half its coefficient (-4.5). Square it (20.25) and add it to both sides. Add '20.25' to each side of the equation. -9x + 20.25 + x2 = -30.5 + 20.25 Reorder the terms: 20.25 + -9x + x2 = -30.5 + 20.25 Combine like terms: -30.5 + 20.25 = -10.25 20.25 + -9x + x2 = -10.25 Factor a perfect square on the left side: (x + -4.5)(x + -4.5) = -10.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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