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Simplifying (a + 2)(2b + 3c) = 0 Reorder the terms: (2 + a)(2b + 3c) = 0 Multiply (2 + a) * (2b + 3c) (2(2b + 3c) + a(2b + 3c)) = 0 ((2b * 2 + 3c * 2) + a(2b + 3c)) = 0 ((4b + 6c) + a(2b + 3c)) = 0 (4b + 6c + (2b * a + 3c * a)) = 0 (4b + 6c + (2ab + 3ac)) = 0 Reorder the terms: (2ab + 3ac + 4b + 6c) = 0 (2ab + 3ac + 4b + 6c) = 0 Solving 2ab + 3ac + 4b + 6c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4b' to each side of the equation. 2ab + 3ac + 4b + -4b + 6c = 0 + -4b Combine like terms: 4b + -4b = 0 2ab + 3ac + 0 + 6c = 0 + -4b 2ab + 3ac + 6c = 0 + -4b Remove the zero: 2ab + 3ac + 6c = -4b Add '-6c' to each side of the equation. 2ab + 3ac + 6c + -6c = -4b + -6c Combine like terms: 6c + -6c = 0 2ab + 3ac + 0 = -4b + -6c 2ab + 3ac = -4b + -6c Reorder the terms: 2ab + 3ac + 4b + 6c = -4b + 4b + -6c + 6c Combine like terms: -4b + 4b = 0 2ab + 3ac + 4b + 6c = 0 + -6c + 6c 2ab + 3ac + 4b + 6c = -6c + 6c Combine like terms: -6c + 6c = 0 2ab + 3ac + 4b + 6c = 0 The solution to this equation could not be determined.
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