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Simplifying 225 + 40x + 2x * x = 0 Multiply x * x 225 + 40x + 2x2 = 0 Solving 225 + 40x + 2x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 112.5 + 20x + x2 = 0 Move the constant term to the right: Add '-112.5' to each side of the equation. 112.5 + 20x + -112.5 + x2 = 0 + -112.5 Reorder the terms: 112.5 + -112.5 + 20x + x2 = 0 + -112.5 Combine like terms: 112.5 + -112.5 = 0.0 0.0 + 20x + x2 = 0 + -112.5 20x + x2 = 0 + -112.5 Combine like terms: 0 + -112.5 = -112.5 20x + x2 = -112.5 The x term is 20x. Take half its coefficient (10). Square it (100) and add it to both sides. Add '100' to each side of the equation. 20x + 100 + x2 = -112.5 + 100 Reorder the terms: 100 + 20x + x2 = -112.5 + 100 Combine like terms: -112.5 + 100 = -12.5 100 + 20x + x2 = -12.5 Factor a perfect square on the left side: (x + 10)(x + 10) = -12.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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