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Simplifying x = 650 + 0.7x2 Solving x = 650 + 0.7x2 Solving for variable 'x'. Reorder the terms: -650 + x + -0.7x2 = 650 + 0.7x2 + -650 + -0.7x2 Reorder the terms: -650 + x + -0.7x2 = 650 + -650 + 0.7x2 + -0.7x2 Combine like terms: 650 + -650 = 0 -650 + x + -0.7x2 = 0 + 0.7x2 + -0.7x2 -650 + x + -0.7x2 = 0.7x2 + -0.7x2 Combine like terms: 0.7x2 + -0.7x2 = 0.0 -650 + x + -0.7x2 = 0.0 Begin completing the square. Divide all terms by -0.7 the coefficient of the squared term: Divide each side by '-0.7'. 928.5714286 + -1.428571429x + x2 = 0 Move the constant term to the right: Add '-928.5714286' to each side of the equation. 928.5714286 + -1.428571429x + -928.5714286 + x2 = 0 + -928.5714286 Reorder the terms: 928.5714286 + -928.5714286 + -1.428571429x + x2 = 0 + -928.5714286 Combine like terms: 928.5714286 + -928.5714286 = 0.0000000 0.0000000 + -1.428571429x + x2 = 0 + -928.5714286 -1.428571429x + x2 = 0 + -928.5714286 Combine like terms: 0 + -928.5714286 = -928.5714286 -1.428571429x + x2 = -928.5714286 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1.428571429x + 0.25 + x2 = -928.5714286 + 0.25 Reorder the terms: 0.25 + -1.428571429x + x2 = -928.5714286 + 0.25 Combine like terms: -928.5714286 + 0.25 = -928.3214286 0.25 + -1.428571429x + x2 = -928.3214286 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -928.3214286 Can't calculate square root of the right side. The solution to this equation could not be determined.
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