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Simplifying 10x2 + 19x + 60 = 0 Reorder the terms: 60 + 19x + 10x2 = 0 Solving 60 + 19x + 10x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 6 + 1.9x + x2 = 0 Move the constant term to the right: Add '-6' to each side of the equation. 6 + 1.9x + -6 + x2 = 0 + -6 Reorder the terms: 6 + -6 + 1.9x + x2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 1.9x + x2 = 0 + -6 1.9x + x2 = 0 + -6 Combine like terms: 0 + -6 = -6 1.9x + x2 = -6 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 + 0.9025 Reorder the terms: 0.9025 + 1.9x + x2 = -6 + 0.9025 Combine like terms: -6 + 0.9025 = -5.0975 0.9025 + 1.9x + x2 = -5.0975 Factor a perfect square on the left side: (x + 0.95)(x + 0.95) = -5.0975 Can't calculate square root of the right side. The solution to this equation could not be determined.
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