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Simplifying x2 + -7x + -20 = -200 Reorder the terms: -20 + -7x + x2 = -200 Solving -20 + -7x + x2 = -200 Solving for variable 'x'. Reorder the terms: -20 + 200 + -7x + x2 = -200 + 200 Combine like terms: -20 + 200 = 180 180 + -7x + x2 = -200 + 200 Combine like terms: -200 + 200 = 0 180 + -7x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-180' to each side of the equation. 180 + -7x + -180 + x2 = 0 + -180 Reorder the terms: 180 + -180 + -7x + x2 = 0 + -180 Combine like terms: 180 + -180 = 0 0 + -7x + x2 = 0 + -180 -7x + x2 = 0 + -180 Combine like terms: 0 + -180 = -180 -7x + x2 = -180 The x term is -7x. Take half its coefficient (-3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. -7x + 12.25 + x2 = -180 + 12.25 Reorder the terms: 12.25 + -7x + x2 = -180 + 12.25 Combine like terms: -180 + 12.25 = -167.75 12.25 + -7x + x2 = -167.75 Factor a perfect square on the left side: (x + -3.5)(x + -3.5) = -167.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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