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Simplifying 0 = 3x2 + -19x + 35 Reorder the terms: 0 = 35 + -19x + 3x2 Solving 0 = 35 + -19x + 3x2 Solving for variable 'x'. Combine like terms: 0 + -35 = -35 -35 + 19x + -3x2 = 35 + -19x + 3x2 + -35 + 19x + -3x2 Reorder the terms: -35 + 19x + -3x2 = 35 + -35 + -19x + 19x + 3x2 + -3x2 Combine like terms: 35 + -35 = 0 -35 + 19x + -3x2 = 0 + -19x + 19x + 3x2 + -3x2 -35 + 19x + -3x2 = -19x + 19x + 3x2 + -3x2 Combine like terms: -19x + 19x = 0 -35 + 19x + -3x2 = 0 + 3x2 + -3x2 -35 + 19x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -35 + 19x + -3x2 = 0 Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. 11.66666667 + -6.333333333x + x2 = 0 Move the constant term to the right: Add '-11.66666667' to each side of the equation. 11.66666667 + -6.333333333x + -11.66666667 + x2 = 0 + -11.66666667 Reorder the terms: 11.66666667 + -11.66666667 + -6.333333333x + x2 = 0 + -11.66666667 Combine like terms: 11.66666667 + -11.66666667 = 0.00000000 0.00000000 + -6.333333333x + x2 = 0 + -11.66666667 -6.333333333x + x2 = 0 + -11.66666667 Combine like terms: 0 + -11.66666667 = -11.66666667 -6.333333333x + x2 = -11.66666667 The x term is -6.333333333x. Take half its coefficient (-3.166666667). Square it (10.02777778) and add it to both sides. Add '10.02777778' to each side of the equation. -6.333333333x + 10.02777778 + x2 = -11.66666667 + 10.02777778 Reorder the terms: 10.02777778 + -6.333333333x + x2 = -11.66666667 + 10.02777778 Combine like terms: -11.66666667 + 10.02777778 = -1.63888889 10.02777778 + -6.333333333x + x2 = -1.63888889 Factor a perfect square on the left side: (x + -3.166666667)(x + -3.166666667) = -1.63888889 Can't calculate square root of the right side. The solution to this equation could not be determined.
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