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Simplifying (1 + 0.045) = (1 + 0.0225)(1 + x) Combine like terms: 1 + 0.045 = 1.045 (1.045) = (1 + 0.0225)(1 + x) 1.045 = (1 + 0.0225)(1 + x) Combine like terms: 1 + 0.0225 = 1.0225 1.045 = (1.0225)(1 + x) 1.045 = (1 * 1.0225 + x * 1.0225) 1.045 = (1.0225 + 1.0225x) Solving 1.045 = 1.0225 + 1.0225x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.0225x' to each side of the equation. 1.045 + -1.0225x = 1.0225 + 1.0225x + -1.0225x Combine like terms: 1.0225x + -1.0225x = 0.0000 1.045 + -1.0225x = 1.0225 + 0.0000 1.045 + -1.0225x = 1.0225 Add '-1.045' to each side of the equation. 1.045 + -1.045 + -1.0225x = 1.0225 + -1.045 Combine like terms: 1.045 + -1.045 = 0.000 0.000 + -1.0225x = 1.0225 + -1.045 -1.0225x = 1.0225 + -1.045 Combine like terms: 1.0225 + -1.045 = -0.0225 -1.0225x = -0.0225 Divide each side by '-1.0225'. x = 0.02200488998 Simplifying x = 0.02200488998
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