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Simplifying x2 + -12x = -60 Reorder the terms: -12x + x2 = -60 Solving -12x + x2 = -60 Solving for variable 'x'. Reorder the terms: 60 + -12x + x2 = -60 + 60 Combine like terms: -60 + 60 = 0 60 + -12x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-60' to each side of the equation. 60 + -12x + -60 + x2 = 0 + -60 Reorder the terms: 60 + -60 + -12x + x2 = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -12x + x2 = 0 + -60 -12x + x2 = 0 + -60 Combine like terms: 0 + -60 = -60 -12x + x2 = -60 The x term is -12x. Take half its coefficient (-6). Square it (36) and add it to both sides. Add '36' to each side of the equation. -12x + 36 + x2 = -60 + 36 Reorder the terms: 36 + -12x + x2 = -60 + 36 Combine like terms: -60 + 36 = -24 36 + -12x + x2 = -24 Factor a perfect square on the left side: (x + -6)(x + -6) = -24 Can't calculate square root of the right side. The solution to this equation could not be determined.
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