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Simplifying 6x2 + 19x + 75 = 0 Reorder the terms: 75 + 19x + 6x2 = 0 Solving 75 + 19x + 6x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 12.5 + 3.166666667x + x2 = 0 Move the constant term to the right: Add '-12.5' to each side of the equation. 12.5 + 3.166666667x + -12.5 + x2 = 0 + -12.5 Reorder the terms: 12.5 + -12.5 + 3.166666667x + x2 = 0 + -12.5 Combine like terms: 12.5 + -12.5 = 0.0 0.0 + 3.166666667x + x2 = 0 + -12.5 3.166666667x + x2 = 0 + -12.5 Combine like terms: 0 + -12.5 = -12.5 3.166666667x + x2 = -12.5 The x term is 3.166666667x. Take half its coefficient (1.583333334). Square it (2.506944447) and add it to both sides. Add '2.506944447' to each side of the equation. 3.166666667x + 2.506944447 + x2 = -12.5 + 2.506944447 Reorder the terms: 2.506944447 + 3.166666667x + x2 = -12.5 + 2.506944447 Combine like terms: -12.5 + 2.506944447 = -9.993055553 2.506944447 + 3.166666667x + x2 = -9.993055553 Factor a perfect square on the left side: (x + 1.583333334)(x + 1.583333334) = -9.993055553 Can't calculate square root of the right side. The solution to this equation could not be determined.
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