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Simplifying 1000000 = x(12 + -0.025x) 1000000 = (12 * x + -0.025x * x) 1000000 = (12x + -0.025x2) Solving 1000000 = 12x + -0.025x2 Solving for variable 'x'. Reorder the terms: 1000000 + -12x + 0.025x2 = 12x + -12x + -0.025x2 + 0.025x2 Combine like terms: 12x + -12x = 0 1000000 + -12x + 0.025x2 = 0 + -0.025x2 + 0.025x2 1000000 + -12x + 0.025x2 = -0.025x2 + 0.025x2 Combine like terms: -0.025x2 + 0.025x2 = 0.000 1000000 + -12x + 0.025x2 = 0.000 Begin completing the square. Divide all terms by 0.025 the coefficient of the squared term: Divide each side by '0.025'. 40000000 + -480x + x2 = 0 Move the constant term to the right: Add '-40000000' to each side of the equation. 40000000 + -480x + -40000000 + x2 = 0 + -40000000 Reorder the terms: 40000000 + -40000000 + -480x + x2 = 0 + -40000000 Combine like terms: 40000000 + -40000000 = 0 0 + -480x + x2 = 0 + -40000000 -480x + x2 = 0 + -40000000 Combine like terms: 0 + -40000000 = -40000000 -480x + x2 = -40000000 The x term is -480x. Take half its coefficient (-240). Square it (57600) and add it to both sides. Add '57600' to each side of the equation. -480x + 57600 + x2 = -40000000 + 57600 Reorder the terms: 57600 + -480x + x2 = -40000000 + 57600 Combine like terms: -40000000 + 57600 = -39942400 57600 + -480x + x2 = -39942400 Factor a perfect square on the left side: (x + -240)(x + -240) = -39942400 Can't calculate square root of the right side. The solution to this equation could not be determined.
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