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Simplifying 5120 + 50x + 0.2x2 = 0 Solving 5120 + 50x + 0.2x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.2 the coefficient of the squared term: Divide each side by '0.2'. 25600 + 250x + x2 = 0 Move the constant term to the right: Add '-25600' to each side of the equation. 25600 + 250x + -25600 + x2 = 0 + -25600 Reorder the terms: 25600 + -25600 + 250x + x2 = 0 + -25600 Combine like terms: 25600 + -25600 = 0 0 + 250x + x2 = 0 + -25600 250x + x2 = 0 + -25600 Combine like terms: 0 + -25600 = -25600 250x + x2 = -25600 The x term is 250x. Take half its coefficient (125). Square it (15625) and add it to both sides. Add '15625' to each side of the equation. 250x + 15625 + x2 = -25600 + 15625 Reorder the terms: 15625 + 250x + x2 = -25600 + 15625 Combine like terms: -25600 + 15625 = -9975 15625 + 250x + x2 = -9975 Factor a perfect square on the left side: (x + 125)(x + 125) = -9975 Can't calculate square root of the right side. The solution to this equation could not be determined.
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