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Simplifying -5x2 + x + -18 = 0 Reorder the terms: -18 + x + -5x2 = 0 Solving -18 + x + -5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. 3.6 + -0.2x + x2 = 0 Move the constant term to the right: Add '-3.6' to each side of the equation. 3.6 + -0.2x + -3.6 + x2 = 0 + -3.6 Reorder the terms: 3.6 + -3.6 + -0.2x + x2 = 0 + -3.6 Combine like terms: 3.6 + -3.6 = 0.0 0.0 + -0.2x + x2 = 0 + -3.6 -0.2x + x2 = 0 + -3.6 Combine like terms: 0 + -3.6 = -3.6 -0.2x + x2 = -3.6 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. -0.2x + 0.25 + x2 = -3.6 + 0.25 Reorder the terms: 0.25 + -0.2x + x2 = -3.6 + 0.25 Combine like terms: -3.6 + 0.25 = -3.35 0.25 + -0.2x + x2 = -3.35 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -3.35 Can't calculate square root of the right side. The solution to this equation could not be determined.
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