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Simplifying 12x2 + 6x + 93.5 = 0 Reorder the terms: 93.5 + 6x + 12x2 = 0 Solving 93.5 + 6x + 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'. 7.791666667 + 0.5x + x2 = 0 Move the constant term to the right: Add '-7.791666667' to each side of the equation. 7.791666667 + 0.5x + -7.791666667 + x2 = 0 + -7.791666667 Reorder the terms: 7.791666667 + -7.791666667 + 0.5x + x2 = 0 + -7.791666667 Combine like terms: 7.791666667 + -7.791666667 = 0.000000000 0.000000000 + 0.5x + x2 = 0 + -7.791666667 0.5x + x2 = 0 + -7.791666667 Combine like terms: 0 + -7.791666667 = -7.791666667 0.5x + x2 = -7.791666667 The x term is 0.5x. Take half its coefficient (0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. 0.5x + 0.0625 + x2 = -7.791666667 + 0.0625 Reorder the terms: 0.0625 + 0.5x + x2 = -7.791666667 + 0.0625 Combine like terms: -7.791666667 + 0.0625 = -7.729166667 0.0625 + 0.5x + x2 = -7.729166667 Factor a perfect square on the left side: (x + 0.25)(x + 0.25) = -7.729166667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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