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Simplifying (a + 5b + c)(a + -5b + c) = 0 Multiply (a + 5b + c) * (a + -5b + c) (a(a + -5b + c) + 5b * (a + -5b + c) + c(a + -5b + c)) = 0 ((a * a + -5b * a + c * a) + 5b * (a + -5b + c) + c(a + -5b + c)) = 0 Reorder the terms: ((-5ab + ac + a2) + 5b * (a + -5b + c) + c(a + -5b + c)) = 0 ((-5ab + ac + a2) + 5b * (a + -5b + c) + c(a + -5b + c)) = 0 (-5ab + ac + a2 + (a * 5b + -5b * 5b + c * 5b) + c(a + -5b + c)) = 0 Reorder the terms: (-5ab + ac + a2 + (5ab + 5bc + -25b2) + c(a + -5b + c)) = 0 (-5ab + ac + a2 + (5ab + 5bc + -25b2) + c(a + -5b + c)) = 0 (-5ab + ac + a2 + 5ab + 5bc + -25b2 + (a * c + -5b * c + c * c)) = 0 (-5ab + ac + a2 + 5ab + 5bc + -25b2 + (ac + -5bc + c2)) = 0 Reorder the terms: (-5ab + 5ab + ac + ac + a2 + 5bc + -5bc + -25b2 + c2) = 0 Combine like terms: -5ab + 5ab = 0 (0 + ac + ac + a2 + 5bc + -5bc + -25b2 + c2) = 0 (ac + ac + a2 + 5bc + -5bc + -25b2 + c2) = 0 Combine like terms: ac + ac = 2ac (2ac + a2 + 5bc + -5bc + -25b2 + c2) = 0 Combine like terms: 5bc + -5bc = 0 (2ac + a2 + 0 + -25b2 + c2) = 0 (2ac + a2 + -25b2 + c2) = 0 Solving 2ac + a2 + -25b2 + c2 = 0 Solving for variable 'a'. The solution to this equation could not be determined.
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