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Simplifying 0 = 19x2 + -2x + 7 Reorder the terms: 0 = 7 + -2x + 19x2 Solving 0 = 7 + -2x + 19x2 Solving for variable 'x'. Combine like terms: 0 + -7 = -7 -7 + 2x + -19x2 = 7 + -2x + 19x2 + -7 + 2x + -19x2 Reorder the terms: -7 + 2x + -19x2 = 7 + -7 + -2x + 2x + 19x2 + -19x2 Combine like terms: 7 + -7 = 0 -7 + 2x + -19x2 = 0 + -2x + 2x + 19x2 + -19x2 -7 + 2x + -19x2 = -2x + 2x + 19x2 + -19x2 Combine like terms: -2x + 2x = 0 -7 + 2x + -19x2 = 0 + 19x2 + -19x2 -7 + 2x + -19x2 = 19x2 + -19x2 Combine like terms: 19x2 + -19x2 = 0 -7 + 2x + -19x2 = 0 Begin completing the square. Divide all terms by -19 the coefficient of the squared term: Divide each side by '-19'. 0.3684210526 + -0.1052631579x + x2 = 0 Move the constant term to the right: Add '-0.3684210526' to each side of the equation. 0.3684210526 + -0.1052631579x + -0.3684210526 + x2 = 0 + -0.3684210526 Reorder the terms: 0.3684210526 + -0.3684210526 + -0.1052631579x + x2 = 0 + -0.3684210526 Combine like terms: 0.3684210526 + -0.3684210526 = 0.0000000000 0.0000000000 + -0.1052631579x + x2 = 0 + -0.3684210526 -0.1052631579x + x2 = 0 + -0.3684210526 Combine like terms: 0 + -0.3684210526 = -0.3684210526 -0.1052631579x + x2 = -0.3684210526 The x term is -0.1052631579x. Take half its coefficient (-0.05263157895). Square it (0.002770083103) and add it to both sides. Add '0.002770083103' to each side of the equation. -0.1052631579x + 0.002770083103 + x2 = -0.3684210526 + 0.002770083103 Reorder the terms: 0.002770083103 + -0.1052631579x + x2 = -0.3684210526 + 0.002770083103 Combine like terms: -0.3684210526 + 0.002770083103 = -0.365650969497 0.002770083103 + -0.1052631579x + x2 = -0.365650969497 Factor a perfect square on the left side: (x + -0.05263157895)(x + -0.05263157895) = -0.365650969497 Can't calculate square root of the right side. The solution to this equation could not be determined.
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