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Simplifying x2 + -6x + 61 = -9 Reorder the terms: 61 + -6x + x2 = -9 Solving 61 + -6x + x2 = -9 Solving for variable 'x'. Reorder the terms: 61 + 9 + -6x + x2 = -9 + 9 Combine like terms: 61 + 9 = 70 70 + -6x + x2 = -9 + 9 Combine like terms: -9 + 9 = 0 70 + -6x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-70' to each side of the equation. 70 + -6x + -70 + x2 = 0 + -70 Reorder the terms: 70 + -70 + -6x + x2 = 0 + -70 Combine like terms: 70 + -70 = 0 0 + -6x + x2 = 0 + -70 -6x + x2 = 0 + -70 Combine like terms: 0 + -70 = -70 -6x + x2 = -70 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 = -70 + 9 Reorder the terms: 9 + -6x + x2 = -70 + 9 Combine like terms: -70 + 9 = -61 9 + -6x + x2 = -61 Factor a perfect square on the left side: (x + -3)(x + -3) = -61 Can't calculate square root of the right side. The solution to this equation could not be determined.
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