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Simplifying x2 + -12x = -59 Reorder the terms: -12x + x2 = -59 Solving -12x + x2 = -59 Solving for variable 'x'. Reorder the terms: 59 + -12x + x2 = -59 + 59 Combine like terms: -59 + 59 = 0 59 + -12x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-59' to each side of the equation. 59 + -12x + -59 + x2 = 0 + -59 Reorder the terms: 59 + -59 + -12x + x2 = 0 + -59 Combine like terms: 59 + -59 = 0 0 + -12x + x2 = 0 + -59 -12x + x2 = 0 + -59 Combine like terms: 0 + -59 = -59 -12x + x2 = -59 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 = -59 + 36 Reorder the terms: 36 + -12x + x2 = -59 + 36 Combine like terms: -59 + 36 = -23 36 + -12x + x2 = -23 Factor a perfect square on the left side: (x + -6)(x + -6) = -23 Can't calculate square root of the right side. The solution to this equation could not be determined.
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