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Simplifying 3x + 5 = 12x2 + 12 Reorder the terms: 5 + 3x = 12x2 + 12 Reorder the terms: 5 + 3x = 12 + 12x2 Solving 5 + 3x = 12 + 12x2 Solving for variable 'x'. Reorder the terms: 5 + -12 + 3x + -12x2 = 12 + 12x2 + -12 + -12x2 Combine like terms: 5 + -12 = -7 -7 + 3x + -12x2 = 12 + 12x2 + -12 + -12x2 Reorder the terms: -7 + 3x + -12x2 = 12 + -12 + 12x2 + -12x2 Combine like terms: 12 + -12 = 0 -7 + 3x + -12x2 = 0 + 12x2 + -12x2 -7 + 3x + -12x2 = 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 -7 + 3x + -12x2 = 0 Begin completing the square. Divide all terms by -12 the coefficient of the squared term: Divide each side by '-12'. 0.5833333333 + -0.25x + x2 = 0 Move the constant term to the right: Add '-0.5833333333' to each side of the equation. 0.5833333333 + -0.25x + -0.5833333333 + x2 = 0 + -0.5833333333 Reorder the terms: 0.5833333333 + -0.5833333333 + -0.25x + x2 = 0 + -0.5833333333 Combine like terms: 0.5833333333 + -0.5833333333 = 0.0000000000 0.0000000000 + -0.25x + x2 = 0 + -0.5833333333 -0.25x + x2 = 0 + -0.5833333333 Combine like terms: 0 + -0.5833333333 = -0.5833333333 -0.25x + x2 = -0.5833333333 The x term is -0.25x. Take half its coefficient (-0.125). Square it (0.015625) and add it to both sides. Add '0.015625' to each side of the equation. -0.25x + 0.015625 + x2 = -0.5833333333 + 0.015625 Reorder the terms: 0.015625 + -0.25x + x2 = -0.5833333333 + 0.015625 Combine like terms: -0.5833333333 + 0.015625 = -0.5677083333 0.015625 + -0.25x + x2 = -0.5677083333 Factor a perfect square on the left side: (x + -0.125)(x + -0.125) = -0.5677083333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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