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Simplifying 3x2 + 12x + 36 = x Reorder the terms: 36 + 12x + 3x2 = x Solving 36 + 12x + 3x2 = x Solving for variable 'x'. Reorder the terms: 36 + 12x + -1x + 3x2 = x + -1x Combine like terms: 12x + -1x = 11x 36 + 11x + 3x2 = x + -1x Combine like terms: x + -1x = 0 36 + 11x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 12 + 3.666666667x + x2 = 0 Move the constant term to the right: Add '-12' to each side of the equation. 12 + 3.666666667x + -12 + x2 = 0 + -12 Reorder the terms: 12 + -12 + 3.666666667x + x2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 3.666666667x + x2 = 0 + -12 3.666666667x + x2 = 0 + -12 Combine like terms: 0 + -12 = -12 3.666666667x + x2 = -12 The x term is 3.666666667x. Take half its coefficient (1.833333334). Square it (3.361111114) and add it to both sides. Add '3.361111114' to each side of the equation. 3.666666667x + 3.361111114 + x2 = -12 + 3.361111114 Reorder the terms: 3.361111114 + 3.666666667x + x2 = -12 + 3.361111114 Combine like terms: -12 + 3.361111114 = -8.638888886 3.361111114 + 3.666666667x + x2 = -8.638888886 Factor a perfect square on the left side: (x + 1.833333334)(x + 1.833333334) = -8.638888886 Can't calculate square root of the right side. The solution to this equation could not be determined.
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