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Simplifying 7x2 + -28x + 41 = -7 Reorder the terms: 41 + -28x + 7x2 = -7 Solving 41 + -28x + 7x2 = -7 Solving for variable 'x'. Reorder the terms: 41 + 7 + -28x + 7x2 = -7 + 7 Combine like terms: 41 + 7 = 48 48 + -28x + 7x2 = -7 + 7 Combine like terms: -7 + 7 = 0 48 + -28x + 7x2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 6.857142857 + -4x + x2 = 0 Move the constant term to the right: Add '-6.857142857' to each side of the equation. 6.857142857 + -4x + -6.857142857 + x2 = 0 + -6.857142857 Reorder the terms: 6.857142857 + -6.857142857 + -4x + x2 = 0 + -6.857142857 Combine like terms: 6.857142857 + -6.857142857 = 0.000000000 0.000000000 + -4x + x2 = 0 + -6.857142857 -4x + x2 = 0 + -6.857142857 Combine like terms: 0 + -6.857142857 = -6.857142857 -4x + x2 = -6.857142857 The x term is -4x. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4x + 4 + x2 = -6.857142857 + 4 Reorder the terms: 4 + -4x + x2 = -6.857142857 + 4 Combine like terms: -6.857142857 + 4 = -2.857142857 4 + -4x + x2 = -2.857142857 Factor a perfect square on the left side: (x + -2)(x + -2) = -2.857142857 Can't calculate square root of the right side. The solution to this equation could not be determined.
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