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Simplifying 12x + -1 = x2 + 36 Reorder the terms: -1 + 12x = x2 + 36 Reorder the terms: -1 + 12x = 36 + x2 Solving -1 + 12x = 36 + x2 Solving for variable 'x'. Reorder the terms: -1 + -36 + 12x + -1x2 = 36 + x2 + -36 + -1x2 Combine like terms: -1 + -36 = -37 -37 + 12x + -1x2 = 36 + x2 + -36 + -1x2 Reorder the terms: -37 + 12x + -1x2 = 36 + -36 + x2 + -1x2 Combine like terms: 36 + -36 = 0 -37 + 12x + -1x2 = 0 + x2 + -1x2 -37 + 12x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -37 + 12x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 37 + -12x + x2 = 0 Move the constant term to the right: Add '-37' to each side of the equation. 37 + -12x + -37 + x2 = 0 + -37 Reorder the terms: 37 + -37 + -12x + x2 = 0 + -37 Combine like terms: 37 + -37 = 0 0 + -12x + x2 = 0 + -37 -12x + x2 = 0 + -37 Combine like terms: 0 + -37 = -37 -12x + x2 = -37 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 = -37 + 36 Reorder the terms: 36 + -12x + x2 = -37 + 36 Combine like terms: -37 + 36 = -1 36 + -12x + x2 = -1 Factor a perfect square on the left side: (x + -6)(x + -6) = -1 Can't calculate square root of the right side. The solution to this equation could not be determined.
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