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Simplifying (a + -1c)(c + 5) = 0 Reorder the terms: (a + -1c)(5 + c) = 0 Multiply (a + -1c) * (5 + c) (a(5 + c) + -1c * (5 + c)) = 0 ((5 * a + c * a) + -1c * (5 + c)) = 0 ((5a + ac) + -1c * (5 + c)) = 0 (5a + ac + (5 * -1c + c * -1c)) = 0 (5a + ac + (-5c + -1c2)) = 0 (5a + ac + -5c + -1c2) = 0 Solving 5a + ac + -5c + -1c2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5c' to each side of the equation. 5a + ac + -5c + 5c + -1c2 = 0 + 5c Combine like terms: -5c + 5c = 0 5a + ac + 0 + -1c2 = 0 + 5c 5a + ac + -1c2 = 0 + 5c Remove the zero: 5a + ac + -1c2 = 5c Add 'c2' to each side of the equation. 5a + ac + -1c2 + c2 = 5c + c2 Combine like terms: -1c2 + c2 = 0 5a + ac + 0 = 5c + c2 5a + ac = 5c + c2 Reorder the terms: 5a + ac + -5c + -1c2 = 5c + -5c + c2 + -1c2 Combine like terms: 5c + -5c = 0 5a + ac + -5c + -1c2 = 0 + c2 + -1c2 5a + ac + -5c + -1c2 = c2 + -1c2 Combine like terms: c2 + -1c2 = 0 5a + ac + -5c + -1c2 = 0 The solution to this equation could not be determined.
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