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Simplifying (1 + -0.38) = (1 + -0.25)(1 + -0.12)(1 + -0.03)(1 + -1x) Combine like terms: 1 + -0.38 = 0.62 (0.62) = (1 + -0.25)(1 + -0.12)(1 + -0.03)(1 + -1x) 0.62 = (1 + -0.25)(1 + -0.12)(1 + -0.03)(1 + -1x) Combine like terms: 1 + -0.25 = 0.75 0.62 = (0.75)(1 + -0.12)(1 + -0.03)(1 + -1x) Combine like terms: 1 + -0.12 = 0.88 0.62 = 0.75(0.88)(1 + -0.03)(1 + -1x) Combine like terms: 1 + -0.03 = 0.97 0.62 = 0.75 * 0.88(0.97)(1 + -1x) Multiply 0.75 * 0.88 0.62 = 0.66 * 0.97(1 + -1x) Multiply 0.66 * 0.97 0.62 = 0.6402(1 + -1x) 0.62 = (1 * 0.6402 + -1x * 0.6402) 0.62 = (0.6402 + -0.6402x) Solving 0.62 = 0.6402 + -0.6402x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.6402x' to each side of the equation. 0.62 + 0.6402x = 0.6402 + -0.6402x + 0.6402x Combine like terms: -0.6402x + 0.6402x = 0.0000 0.62 + 0.6402x = 0.6402 + 0.0000 0.62 + 0.6402x = 0.6402 Add '-0.62' to each side of the equation. 0.62 + -0.62 + 0.6402x = 0.6402 + -0.62 Combine like terms: 0.62 + -0.62 = 0.00 0.00 + 0.6402x = 0.6402 + -0.62 0.6402x = 0.6402 + -0.62 Combine like terms: 0.6402 + -0.62 = 0.0202 0.6402x = 0.0202 Divide each side by '0.6402'. x = 0.0315526398 Simplifying x = 0.0315526398
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