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Simplifying (a + b) * c = c(a + b) Reorder the terms for easier multiplication: c(a + b) = c(a + b) (a * c + b * c) = c(a + b) (ac + bc) = c(a + b) ac + bc = (a * c + b * c) ac + bc = (ac + bc) Add '-1ac' to each side of the equation. ac + -1ac + bc = ac + -1ac + bc Combine like terms: ac + -1ac = 0 0 + bc = ac + -1ac + bc bc = ac + -1ac + bc Combine like terms: ac + -1ac = 0 bc = 0 + bc bc = bc Add '-1bc' to each side of the equation. bc + -1bc = bc + -1bc Combine like terms: bc + -1bc = 0 0 = bc + -1bc Combine like terms: bc + -1bc = 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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