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Simplifying -12x2 + 3x + -16 = 0 Reorder the terms: -16 + 3x + -12x2 = 0 Solving -16 + 3x + -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'. 1.333333333 + -0.25x + x2 = 0 Move the constant term to the right: Add '-1.333333333' to each side of the equation. 1.333333333 + -0.25x + -1.333333333 + x2 = 0 + -1.333333333 Reorder the terms: 1.333333333 + -1.333333333 + -0.25x + x2 = 0 + -1.333333333 Combine like terms: 1.333333333 + -1.333333333 = 0.000000000 0.000000000 + -0.25x + x2 = 0 + -1.333333333 -0.25x + x2 = 0 + -1.333333333 Combine like terms: 0 + -1.333333333 = -1.333333333 -0.25x + x2 = -1.333333333 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 = -1.333333333 + 0.015625 Reorder the terms: 0.015625 + -0.25x + x2 = -1.333333333 + 0.015625 Combine like terms: -1.333333333 + 0.015625 = -1.317708333 0.015625 + -0.25x + x2 = -1.317708333 Factor a perfect square on the left side: (x + -0.125)(x + -0.125) = -1.317708333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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