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Simplifying -1x2 + 9x = 84 Reorder the terms: 9x + -1x2 = 84 Solving 9x + -1x2 = 84 Solving for variable 'x'. Reorder the terms: -84 + 9x + -1x2 = 84 + -84 Combine like terms: 84 + -84 = 0 -84 + 9x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 84 + -9x + x2 = 0 Move the constant term to the right: Add '-84' to each side of the equation. 84 + -9x + -84 + x2 = 0 + -84 Reorder the terms: 84 + -84 + -9x + x2 = 0 + -84 Combine like terms: 84 + -84 = 0 0 + -9x + x2 = 0 + -84 -9x + x2 = 0 + -84 Combine like terms: 0 + -84 = -84 -9x + x2 = -84 The x term is -9x. Take half its coefficient (-4.5). Square it (20.25) and add it to both sides. Add '20.25' to each side of the equation. -9x + 20.25 + x2 = -84 + 20.25 Reorder the terms: 20.25 + -9x + x2 = -84 + 20.25 Combine like terms: -84 + 20.25 = -63.75 20.25 + -9x + x2 = -63.75 Factor a perfect square on the left side: (x + -4.5)(x + -4.5) = -63.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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