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