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Simplifying x2 + -6x + 91 = 0 Reorder the terms: 91 + -6x + x2 = 0 Solving 91 + -6x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-91' to each side of the equation. 91 + -6x + -91 + x2 = 0 + -91 Reorder the terms: 91 + -91 + -6x + x2 = 0 + -91 Combine like terms: 91 + -91 = 0 0 + -6x + x2 = 0 + -91 -6x + x2 = 0 + -91 Combine like terms: 0 + -91 = -91 -6x + x2 = -91 The x term is -6x. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6x + 9 + x2 = -91 + 9 Reorder the terms: 9 + -6x + x2 = -91 + 9 Combine like terms: -91 + 9 = -82 9 + -6x + x2 = -82 Factor a perfect square on the left side: (x + -3)(x + -3) = -82 Can't calculate square root of the right side. The solution to this equation could not be determined.
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