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Simplifying (-1X * X) + 5X + -1 = 6 Multiply X * X (-1X2) + 5X + -1 = 6 Reorder the terms: -1 + 5X + (-1X2) = 6 Solving -1 + 5X + (-1X2) = 6 Solving for variable 'X'. Reorder the terms: -1 + -6 + 5X + (-1X2) = 6 + -6 Combine like terms: -1 + -6 = -7 -7 + 5X + (-1X2) = 6 + -6 Combine like terms: 6 + -6 = 0 -7 + 5X + (-1X2) = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 7 + -5X + X2 = 0 Move the constant term to the right: Add '-7' to each side of the equation. 7 + -5X + -7 + X2 = 0 + -7 Reorder the terms: 7 + -7 + -5X + X2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5X + X2 = 0 + -7 -5X + X2 = 0 + -7 Combine like terms: 0 + -7 = -7 -5X + X2 = -7 The X term is -5X. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5X + 6.25 + X2 = -7 + 6.25 Reorder the terms: 6.25 + -5X + X2 = -7 + 6.25 Combine like terms: -7 + 6.25 = -0.75 6.25 + -5X + X2 = -0.75 Factor a perfect square on the left side: ((X) + -2.5)((X) + -2.5) = -0.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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