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Simplifying 3x + -1x2 = 161 Solving 3x + -1x2 = 161 Solving for variable 'x'. Reorder the terms: -161 + 3x + -1x2 = 161 + -161 Combine like terms: 161 + -161 = 0 -161 + 3x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 161 + -3x + x2 = 0 Move the constant term to the right: Add '-161' to each side of the equation. 161 + -3x + -161 + x2 = 0 + -161 Reorder the terms: 161 + -161 + -3x + x2 = 0 + -161 Combine like terms: 161 + -161 = 0 0 + -3x + x2 = 0 + -161 -3x + x2 = 0 + -161 Combine like terms: 0 + -161 = -161 -3x + x2 = -161 The x term is -3x. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3x + 2.25 + x2 = -161 + 2.25 Reorder the terms: 2.25 + -3x + x2 = -161 + 2.25 Combine like terms: -161 + 2.25 = -158.75 2.25 + -3x + x2 = -158.75 Factor a perfect square on the left side: (x + -1.5)(x + -1.5) = -158.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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