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Simplifying 0 = x2 + -7x + 40 Reorder the terms: 0 = 40 + -7x + x2 Solving 0 = 40 + -7x + x2 Solving for variable 'x'. Combine like terms: 0 + -40 = -40 -40 + 7x + -1x2 = 40 + -7x + x2 + -40 + 7x + -1x2 Reorder the terms: -40 + 7x + -1x2 = 40 + -40 + -7x + 7x + x2 + -1x2 Combine like terms: 40 + -40 = 0 -40 + 7x + -1x2 = 0 + -7x + 7x + x2 + -1x2 -40 + 7x + -1x2 = -7x + 7x + x2 + -1x2 Combine like terms: -7x + 7x = 0 -40 + 7x + -1x2 = 0 + x2 + -1x2 -40 + 7x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -40 + 7x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 40 + -7x + x2 = 0 Move the constant term to the right: Add '-40' to each side of the equation. 40 + -7x + -40 + x2 = 0 + -40 Reorder the terms: 40 + -40 + -7x + x2 = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -7x + x2 = 0 + -40 -7x + x2 = 0 + -40 Combine like terms: 0 + -40 = -40 -7x + x2 = -40 The x term is -7x. Take half its coefficient (-3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. -7x + 12.25 + x2 = -40 + 12.25 Reorder the terms: 12.25 + -7x + x2 = -40 + 12.25 Combine like terms: -40 + 12.25 = -27.75 12.25 + -7x + x2 = -27.75 Factor a perfect square on the left side: (x + -3.5)(x + -3.5) = -27.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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