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Simplifying 5x2 + 8x + 300 = 0 Reorder the terms: 300 + 8x + 5x2 = 0 Solving 300 + 8x + 5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 60 + 1.6x + x2 = 0 Move the constant term to the right: Add '-60' to each side of the equation. 60 + 1.6x + -60 + x2 = 0 + -60 Reorder the terms: 60 + -60 + 1.6x + x2 = 0 + -60 Combine like terms: 60 + -60 = 0 0 + 1.6x + x2 = 0 + -60 1.6x + x2 = 0 + -60 Combine like terms: 0 + -60 = -60 1.6x + x2 = -60 The x term is 1.6x. Take half its coefficient (0.8). Square it (0.64) and add it to both sides. Add '0.64' to each side of the equation. 1.6x + 0.64 + x2 = -60 + 0.64 Reorder the terms: 0.64 + 1.6x + x2 = -60 + 0.64 Combine like terms: -60 + 0.64 = -59.36 0.64 + 1.6x + x2 = -59.36 Factor a perfect square on the left side: (x + 0.8)(x + 0.8) = -59.36 Can't calculate square root of the right side. The solution to this equation could not be determined.
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