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Simplifying 19x2 + 10x + 54 = 0 Reorder the terms: 54 + 10x + 19x2 = 0 Solving 54 + 10x + 19x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 19 the coefficient of the squared term: Divide each side by '19'. 2.842105263 + 0.5263157895x + x2 = 0 Move the constant term to the right: Add '-2.842105263' to each side of the equation. 2.842105263 + 0.5263157895x + -2.842105263 + x2 = 0 + -2.842105263 Reorder the terms: 2.842105263 + -2.842105263 + 0.5263157895x + x2 = 0 + -2.842105263 Combine like terms: 2.842105263 + -2.842105263 = 0.000000000 0.000000000 + 0.5263157895x + x2 = 0 + -2.842105263 0.5263157895x + x2 = 0 + -2.842105263 Combine like terms: 0 + -2.842105263 = -2.842105263 0.5263157895x + x2 = -2.842105263 The x term is 0.5263157895x. Take half its coefficient (0.2631578948). Square it (0.06925207760) and add it to both sides. Add '0.06925207760' to each side of the equation. 0.5263157895x + 0.06925207760 + x2 = -2.842105263 + 0.06925207760 Reorder the terms: 0.06925207760 + 0.5263157895x + x2 = -2.842105263 + 0.06925207760 Combine like terms: -2.842105263 + 0.06925207760 = -2.7728531854 0.06925207760 + 0.5263157895x + x2 = -2.7728531854 Factor a perfect square on the left side: (x + 0.2631578948)(x + 0.2631578948) = -2.7728531854 Can't calculate square root of the right side. The solution to this equation could not be determined.
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