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Simplifying 1600x2 + 70x + 53 = 0 Reorder the terms: 53 + 70x + 1600x2 = 0 Solving 53 + 70x + 1600x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 1600 the coefficient of the squared term: Divide each side by '1600'. 0.033125 + 0.04375x + x2 = 0 Move the constant term to the right: Add '-0.033125' to each side of the equation. 0.033125 + 0.04375x + -0.033125 + x2 = 0 + -0.033125 Reorder the terms: 0.033125 + -0.033125 + 0.04375x + x2 = 0 + -0.033125 Combine like terms: 0.033125 + -0.033125 = 0.000000 0.000000 + 0.04375x + x2 = 0 + -0.033125 0.04375x + x2 = 0 + -0.033125 Combine like terms: 0 + -0.033125 = -0.033125 0.04375x + x2 = -0.033125 The x term is 0.04375x. Take half its coefficient (0.021875). Square it (0.000478515625) and add it to both sides. Add '0.000478515625' to each side of the equation. 0.04375x + 0.000478515625 + x2 = -0.033125 + 0.000478515625 Reorder the terms: 0.000478515625 + 0.04375x + x2 = -0.033125 + 0.000478515625 Combine like terms: -0.033125 + 0.000478515625 = -0.032646484375 0.000478515625 + 0.04375x + x2 = -0.032646484375 Factor a perfect square on the left side: (x + 0.021875)(x + 0.021875) = -0.032646484375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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