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Simplifying 6x2 = 19x + -42 Reorder the terms: 6x2 = -42 + 19x Solving 6x2 = -42 + 19x Solving for variable 'x'. Reorder the terms: 42 + -19x + 6x2 = -42 + 19x + 42 + -19x Reorder the terms: 42 + -19x + 6x2 = -42 + 42 + 19x + -19x Combine like terms: -42 + 42 = 0 42 + -19x + 6x2 = 0 + 19x + -19x 42 + -19x + 6x2 = 19x + -19x Combine like terms: 19x + -19x = 0 42 + -19x + 6x2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 7 + -3.166666667x + x2 = 0 Move the constant term to the right: Add '-7' to each side of the equation. 7 + -3.166666667x + -7 + x2 = 0 + -7 Reorder the terms: 7 + -7 + -3.166666667x + x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3.166666667x + x2 = 0 + -7 -3.166666667x + x2 = 0 + -7 Combine like terms: 0 + -7 = -7 -3.166666667x + x2 = -7 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 = -7 + 2.506944447 Reorder the terms: 2.506944447 + -3.166666667x + x2 = -7 + 2.506944447 Combine like terms: -7 + 2.506944447 = -4.493055553 2.506944447 + -3.166666667x + x2 = -4.493055553 Factor a perfect square on the left side: (x + -1.583333334)(x + -1.583333334) = -4.493055553 Can't calculate square root of the right side. The solution to this equation could not be determined.
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