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Simplifying 0 = x2 + -9x + 175 Reorder the terms: 0 = 175 + -9x + x2 Solving 0 = 175 + -9x + x2 Solving for variable 'x'. Combine like terms: 0 + -175 = -175 -175 + 9x + -1x2 = 175 + -9x + x2 + -175 + 9x + -1x2 Reorder the terms: -175 + 9x + -1x2 = 175 + -175 + -9x + 9x + x2 + -1x2 Combine like terms: 175 + -175 = 0 -175 + 9x + -1x2 = 0 + -9x + 9x + x2 + -1x2 -175 + 9x + -1x2 = -9x + 9x + x2 + -1x2 Combine like terms: -9x + 9x = 0 -175 + 9x + -1x2 = 0 + x2 + -1x2 -175 + 9x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -175 + 9x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 175 + -9x + x2 = 0 Move the constant term to the right: Add '-175' to each side of the equation. 175 + -9x + -175 + x2 = 0 + -175 Reorder the terms: 175 + -175 + -9x + x2 = 0 + -175 Combine like terms: 175 + -175 = 0 0 + -9x + x2 = 0 + -175 -9x + x2 = 0 + -175 Combine like terms: 0 + -175 = -175 -9x + x2 = -175 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 = -175 + 20.25 Reorder the terms: 20.25 + -9x + x2 = -175 + 20.25 Combine like terms: -175 + 20.25 = -154.75 20.25 + -9x + x2 = -154.75 Factor a perfect square on the left side: (x + -4.5)(x + -4.5) = -154.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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