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Simplifying 12x2 + 9x + 56 = 0 Reorder the terms: 56 + 9x + 12x2 = 0 Solving 56 + 9x + 12x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. 4.666666667 + 0.75x + x2 = 0 Move the constant term to the right: Add '-4.666666667' to each side of the equation. 4.666666667 + 0.75x + -4.666666667 + x2 = 0 + -4.666666667 Reorder the terms: 4.666666667 + -4.666666667 + 0.75x + x2 = 0 + -4.666666667 Combine like terms: 4.666666667 + -4.666666667 = 0.000000000 0.000000000 + 0.75x + x2 = 0 + -4.666666667 0.75x + x2 = 0 + -4.666666667 Combine like terms: 0 + -4.666666667 = -4.666666667 0.75x + x2 = -4.666666667 The x term is 0.75x. Take half its coefficient (0.375). Square it (0.140625) and add it to both sides. Add '0.140625' to each side of the equation. 0.75x + 0.140625 + x2 = -4.666666667 + 0.140625 Reorder the terms: 0.140625 + 0.75x + x2 = -4.666666667 + 0.140625 Combine like terms: -4.666666667 + 0.140625 = -4.526041667 0.140625 + 0.75x + x2 = -4.526041667 Factor a perfect square on the left side: (x + 0.375)(x + 0.375) = -4.526041667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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