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Simplifying 6x2 + 19x + 76 = 2 Reorder the terms: 76 + 19x + 6x2 = 2 Solving 76 + 19x + 6x2 = 2 Solving for variable 'x'. Reorder the terms: 76 + -2 + 19x + 6x2 = 2 + -2 Combine like terms: 76 + -2 = 74 74 + 19x + 6x2 = 2 + -2 Combine like terms: 2 + -2 = 0 74 + 19x + 6x2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 12.33333333 + 3.166666667x + x2 = 0 Move the constant term to the right: Add '-12.33333333' to each side of the equation. 12.33333333 + 3.166666667x + -12.33333333 + x2 = 0 + -12.33333333 Reorder the terms: 12.33333333 + -12.33333333 + 3.166666667x + x2 = 0 + -12.33333333 Combine like terms: 12.33333333 + -12.33333333 = 0.00000000 0.00000000 + 3.166666667x + x2 = 0 + -12.33333333 3.166666667x + x2 = 0 + -12.33333333 Combine like terms: 0 + -12.33333333 = -12.33333333 3.166666667x + x2 = -12.33333333 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 = -12.33333333 + 2.506944447 Reorder the terms: 2.506944447 + 3.166666667x + x2 = -12.33333333 + 2.506944447 Combine like terms: -12.33333333 + 2.506944447 = -9.826388883 2.506944447 + 3.166666667x + x2 = -9.826388883 Factor a perfect square on the left side: (x + 1.583333334)(x + 1.583333334) = -9.826388883 Can't calculate square root of the right side. The solution to this equation could not be determined.
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