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Simplifying 0.80x * 0.05(20 + -1x) = 0.10(100) Reorder the terms for easier multiplication: 0.80 * 0.05x(20 + -1x) = 0.10(100) Multiply 0.80 * 0.05 0.04x(20 + -1x) = 0.10(100) (20 * 0.04x + -1x * 0.04x) = 0.10(100) (0.8x + -0.04x2) = 0.10(100) Multiply 0.10 * 100 0.8x + -0.04x2 = 10 Solving 0.8x + -0.04x2 = 10 Solving for variable 'x'. Reorder the terms: -10 + 0.8x + -0.04x2 = 10 + -10 Combine like terms: 10 + -10 = 0 -10 + 0.8x + -0.04x2 = 0 Begin completing the square. Divide all terms by -0.04 the coefficient of the squared term: Divide each side by '-0.04'. 250 + -20x + x2 = 0 Move the constant term to the right: Add '-250' to each side of the equation. 250 + -20x + -250 + x2 = 0 + -250 Reorder the terms: 250 + -250 + -20x + x2 = 0 + -250 Combine like terms: 250 + -250 = 0 0 + -20x + x2 = 0 + -250 -20x + x2 = 0 + -250 Combine like terms: 0 + -250 = -250 -20x + x2 = -250 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 = -250 + 100 Reorder the terms: 100 + -20x + x2 = -250 + 100 Combine like terms: -250 + 100 = -150 100 + -20x + x2 = -150 Factor a perfect square on the left side: (x + -10)(x + -10) = -150 Can't calculate square root of the right side. The solution to this equation could not be determined.
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