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Simplifying 7x2 + -21x + 40 = 0 Reorder the terms: 40 + -21x + 7x2 = 0 Solving 40 + -21x + 7x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 5.714285714 + -3x + x2 = 0 Move the constant term to the right: Add '-5.714285714' to each side of the equation. 5.714285714 + -3x + -5.714285714 + x2 = 0 + -5.714285714 Reorder the terms: 5.714285714 + -5.714285714 + -3x + x2 = 0 + -5.714285714 Combine like terms: 5.714285714 + -5.714285714 = 0.000000000 0.000000000 + -3x + x2 = 0 + -5.714285714 -3x + x2 = 0 + -5.714285714 Combine like terms: 0 + -5.714285714 = -5.714285714 -3x + x2 = -5.714285714 The x term is -3x. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3x + 2.25 + x2 = -5.714285714 + 2.25 Reorder the terms: 2.25 + -3x + x2 = -5.714285714 + 2.25 Combine like terms: -5.714285714 + 2.25 = -3.464285714 2.25 + -3x + x2 = -3.464285714 Factor a perfect square on the left side: (x + -1.5)(x + -1.5) = -3.464285714 Can't calculate square root of the right side. The solution to this equation could not be determined.
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