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Simplifying 12x2 + -15x + 19 = 0 Reorder the terms: 19 + -15x + 12x2 = 0 Solving 19 + -15x + 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'. 1.583333333 + -1.25x + x2 = 0 Move the constant term to the right: Add '-1.583333333' to each side of the equation. 1.583333333 + -1.25x + -1.583333333 + x2 = 0 + -1.583333333 Reorder the terms: 1.583333333 + -1.583333333 + -1.25x + x2 = 0 + -1.583333333 Combine like terms: 1.583333333 + -1.583333333 = 0.000000000 0.000000000 + -1.25x + x2 = 0 + -1.583333333 -1.25x + x2 = 0 + -1.583333333 Combine like terms: 0 + -1.583333333 = -1.583333333 -1.25x + x2 = -1.583333333 The x term is -1.25x. Take half its coefficient (-0.625). Square it (0.390625) and add it to both sides. Add '0.390625' to each side of the equation. -1.25x + 0.390625 + x2 = -1.583333333 + 0.390625 Reorder the terms: 0.390625 + -1.25x + x2 = -1.583333333 + 0.390625 Combine like terms: -1.583333333 + 0.390625 = -1.192708333 0.390625 + -1.25x + x2 = -1.192708333 Factor a perfect square on the left side: (x + -0.625)(x + -0.625) = -1.192708333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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