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Simplifying 7x2 + -21x + 115 = 0 Reorder the terms: 115 + -21x + 7x2 = 0 Solving 115 + -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'. 16.42857143 + -3x + x2 = 0 Move the constant term to the right: Add '-16.42857143' to each side of the equation. 16.42857143 + -3x + -16.42857143 + x2 = 0 + -16.42857143 Reorder the terms: 16.42857143 + -16.42857143 + -3x + x2 = 0 + -16.42857143 Combine like terms: 16.42857143 + -16.42857143 = 0.00000000 0.00000000 + -3x + x2 = 0 + -16.42857143 -3x + x2 = 0 + -16.42857143 Combine like terms: 0 + -16.42857143 = -16.42857143 -3x + x2 = -16.42857143 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 = -16.42857143 + 2.25 Reorder the terms: 2.25 + -3x + x2 = -16.42857143 + 2.25 Combine like terms: -16.42857143 + 2.25 = -14.17857143 2.25 + -3x + x2 = -14.17857143 Factor a perfect square on the left side: (x + -1.5)(x + -1.5) = -14.17857143 Can't calculate square root of the right side. The solution to this equation could not be determined.
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