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Simplifying 32400 + 100x + 0.1x2 = 0 Solving 32400 + 100x + 0.1x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.1 the coefficient of the squared term: Divide each side by '0.1'. 324000 + 1000x + x2 = 0 Move the constant term to the right: Add '-324000' to each side of the equation. 324000 + 1000x + -324000 + x2 = 0 + -324000 Reorder the terms: 324000 + -324000 + 1000x + x2 = 0 + -324000 Combine like terms: 324000 + -324000 = 0 0 + 1000x + x2 = 0 + -324000 1000x + x2 = 0 + -324000 Combine like terms: 0 + -324000 = -324000 1000x + x2 = -324000 The x term is 1000x. Take half its coefficient (500). Square it (250000) and add it to both sides. Add '250000' to each side of the equation. 1000x + 250000 + x2 = -324000 + 250000 Reorder the terms: 250000 + 1000x + x2 = -324000 + 250000 Combine like terms: -324000 + 250000 = -74000 250000 + 1000x + x2 = -74000 Factor a perfect square on the left side: (x + 500)(x + 500) = -74000 Can't calculate square root of the right side. The solution to this equation could not be determined.
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