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Simplifying -50 = X2 + -3X + -40 Reorder the terms: -50 = -40 + -3X + X2 Solving -50 = -40 + -3X + X2 Solving for variable 'X'. Combine like terms: -50 + 40 = -10 -10 + 3X + -1X2 = -40 + -3X + X2 + 40 + 3X + -1X2 Reorder the terms: -10 + 3X + -1X2 = -40 + 40 + -3X + 3X + X2 + -1X2 Combine like terms: -40 + 40 = 0 -10 + 3X + -1X2 = 0 + -3X + 3X + X2 + -1X2 -10 + 3X + -1X2 = -3X + 3X + X2 + -1X2 Combine like terms: -3X + 3X = 0 -10 + 3X + -1X2 = 0 + X2 + -1X2 -10 + 3X + -1X2 = X2 + -1X2 Combine like terms: X2 + -1X2 = 0 -10 + 3X + -1X2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 10 + -3X + X2 = 0 Move the constant term to the right: Add '-10' to each side of the equation. 10 + -3X + -10 + X2 = 0 + -10 Reorder the terms: 10 + -10 + -3X + X2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3X + X2 = 0 + -10 -3X + X2 = 0 + -10 Combine like terms: 0 + -10 = -10 -3X + X2 = -10 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 = -10 + 2.25 Reorder the terms: 2.25 + -3X + X2 = -10 + 2.25 Combine like terms: -10 + 2.25 = -7.75 2.25 + -3X + X2 = -7.75 Factor a perfect square on the left side: (X + -1.5)(X + -1.5) = -7.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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