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Simplifying (A + -6bc)(5a + 4bc) = 0 Multiply (A + -6bc) * (5a + 4bc) (A(5a + 4bc) + -6bc * (5a + 4bc)) = 0 ((5a * A + 4bc * A) + -6bc * (5a + 4bc)) = 0 ((5aA + 4bcA) + -6bc * (5a + 4bc)) = 0 (5aA + 4bcA + (5a * -6bc + 4bc * -6bc)) = 0 (5aA + 4bcA + (-30abc + -24b2c2)) = 0 Reorder the terms: (5aA + -30abc + 4bcA + -24b2c2) = 0 (5aA + -30abc + 4bcA + -24b2c2) = 0 Solving 5aA + -30abc + 4bcA + -24b2c2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4bcA' to each side of the equation. 5aA + -30abc + 4bcA + -4bcA + -24b2c2 = 0 + -4bcA Combine like terms: 4bcA + -4bcA = 0 5aA + -30abc + 0 + -24b2c2 = 0 + -4bcA 5aA + -30abc + -24b2c2 = 0 + -4bcA Remove the zero: 5aA + -30abc + -24b2c2 = -4bcA Add '24b2c2' to each side of the equation. 5aA + -30abc + -24b2c2 + 24b2c2 = -4bcA + 24b2c2 Combine like terms: -24b2c2 + 24b2c2 = 0 5aA + -30abc + 0 = -4bcA + 24b2c2 5aA + -30abc = -4bcA + 24b2c2 Reorder the terms: 5aA + -30abc + 4bcA + -24b2c2 = -4bcA + 4bcA + 24b2c2 + -24b2c2 Combine like terms: -4bcA + 4bcA = 0 5aA + -30abc + 4bcA + -24b2c2 = 0 + 24b2c2 + -24b2c2 5aA + -30abc + 4bcA + -24b2c2 = 24b2c2 + -24b2c2 Combine like terms: 24b2c2 + -24b2c2 = 0 5aA + -30abc + 4bcA + -24b2c2 = 0 The solution to this equation could not be determined.
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