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Simplifying 16b + -4(c + 3) * 4b = 0 Reorder the terms: 16b + -4(3 + c) * 4b = 0 Reorder the terms for easier multiplication: 16b + -4 * 4b(3 + c) = 0 Multiply -4 * 4 16b + -16b(3 + c) = 0 16b + (3 * -16b + c * -16b) = 0 16b + (-48b + -16bc) = 0 Combine like terms: 16b + -48b = -32b -32b + -16bc = 0 Solving -32b + -16bc = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '-16b'. -16b(2 + c) = 0 Ignore the factor -16.Subproblem 1
Set the factor 'b' equal to zero and attempt to solve: Simplifying b = 0 Solving b = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b = 0Subproblem 2
Set the factor '(2 + c)' equal to zero and attempt to solve: Simplifying 2 + c = 0 Solving 2 + c = 0 Move all terms containing b to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + c = 0 + -2 Combine like terms: 2 + -2 = 0 0 + c = 0 + -2 c = 0 + -2 Combine like terms: 0 + -2 = -2 c = -2 Add '-1c' to each side of the equation. c + -1c = -2 + -1c Combine like terms: c + -1c = 0 0 = -2 + -1c Simplifying 0 = -2 + -1c The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
b = {0}
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