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Simplifying (r + s) * x = (rx + sx) Reorder the terms for easier multiplication: x(r + s) = (rx + sx) (r * x + s * x) = (rx + sx) (rx + sx) = (rx + sx) Remove parenthesis around (rx + sx) rx + sx = rx + sx Add '-1rx' to each side of the equation. rx + -1rx + sx = rx + -1rx + sx Combine like terms: rx + -1rx = 0 0 + sx = rx + -1rx + sx sx = rx + -1rx + sx Combine like terms: rx + -1rx = 0 sx = 0 + sx sx = sx Add '-1sx' to each side of the equation. sx + -1sx = sx + -1sx Combine like terms: sx + -1sx = 0 0 = sx + -1sx Combine like terms: sx + -1sx = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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