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Simplifying 108 = 12x + -1x2 Solving 108 = 12x + -1x2 Solving for variable 'x'. Reorder the terms: 108 + -12x + x2 = 12x + -12x + -1x2 + x2 Combine like terms: 12x + -12x = 0 108 + -12x + x2 = 0 + -1x2 + x2 108 + -12x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 108 + -12x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-108' to each side of the equation. 108 + -12x + -108 + x2 = 0 + -108 Reorder the terms: 108 + -108 + -12x + x2 = 0 + -108 Combine like terms: 108 + -108 = 0 0 + -12x + x2 = 0 + -108 -12x + x2 = 0 + -108 Combine like terms: 0 + -108 = -108 -12x + x2 = -108 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 = -108 + 36 Reorder the terms: 36 + -12x + x2 = -108 + 36 Combine like terms: -108 + 36 = -72 36 + -12x + x2 = -72 Factor a perfect square on the left side: (x + -6)(x + -6) = -72 Can't calculate square root of the right side. The solution to this equation could not be determined.
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