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Simplifying 3 = x2 + -7x + 16 Reorder the terms: 3 = 16 + -7x + x2 Solving 3 = 16 + -7x + x2 Solving for variable 'x'. Combine like terms: 3 + -16 = -13 -13 + 7x + -1x2 = 16 + -7x + x2 + -16 + 7x + -1x2 Reorder the terms: -13 + 7x + -1x2 = 16 + -16 + -7x + 7x + x2 + -1x2 Combine like terms: 16 + -16 = 0 -13 + 7x + -1x2 = 0 + -7x + 7x + x2 + -1x2 -13 + 7x + -1x2 = -7x + 7x + x2 + -1x2 Combine like terms: -7x + 7x = 0 -13 + 7x + -1x2 = 0 + x2 + -1x2 -13 + 7x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -13 + 7x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 13 + -7x + x2 = 0 Move the constant term to the right: Add '-13' to each side of the equation. 13 + -7x + -13 + x2 = 0 + -13 Reorder the terms: 13 + -13 + -7x + x2 = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -7x + x2 = 0 + -13 -7x + x2 = 0 + -13 Combine like terms: 0 + -13 = -13 -7x + x2 = -13 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 = -13 + 12.25 Reorder the terms: 12.25 + -7x + x2 = -13 + 12.25 Combine like terms: -13 + 12.25 = -0.75 12.25 + -7x + x2 = -0.75 Factor a perfect square on the left side: (x + -3.5)(x + -3.5) = -0.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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