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Simplifying 3x2 + 5.7x + 19 = 0 Reorder the terms: 19 + 5.7x + 3x2 = 0 Solving 19 + 5.7x + 3x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 6.333333333 + 1.9x + x2 = 0 Move the constant term to the right: Add '-6.333333333' to each side of the equation. 6.333333333 + 1.9x + -6.333333333 + x2 = 0 + -6.333333333 Reorder the terms: 6.333333333 + -6.333333333 + 1.9x + x2 = 0 + -6.333333333 Combine like terms: 6.333333333 + -6.333333333 = 0.000000000 0.000000000 + 1.9x + x2 = 0 + -6.333333333 1.9x + x2 = 0 + -6.333333333 Combine like terms: 0 + -6.333333333 = -6.333333333 1.9x + x2 = -6.333333333 The x term is 1.9x. Take half its coefficient (0.95). Square it (0.9025) and add it to both sides. Add '0.9025' to each side of the equation. 1.9x + 0.9025 + x2 = -6.333333333 + 0.9025 Reorder the terms: 0.9025 + 1.9x + x2 = -6.333333333 + 0.9025 Combine like terms: -6.333333333 + 0.9025 = -5.430833333 0.9025 + 1.9x + x2 = -5.430833333 Factor a perfect square on the left side: (x + 0.95)(x + 0.95) = -5.430833333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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