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Simplifying f(2x + 3) * g(4) = 0 Reorder the terms: f(3 + 2x) * g(4) = 0 Reorder the terms for easier multiplication: 4f * g(3 + 2x) = 0 Multiply f * g 4fg(3 + 2x) = 0 (3 * 4fg + 2x * 4fg) = 0 (12fg + 8fgx) = 0 Solving 12fg + 8fgx = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '4fg'. 4fg(3 + 2x) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'fg' equal to zero and attempt to solve: Simplifying fg = 0 Solving fg = 0 Move all terms containing f to the left, all other terms to the right. Simplifying fg = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(3 + 2x)' equal to zero and attempt to solve: Simplifying 3 + 2x = 0 Solving 3 + 2x = 0 Move all terms containing f to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Add '-2x' to each side of the equation. 2x + -2x = -3 + -2x Combine like terms: 2x + -2x = 0 0 = -3 + -2x Simplifying 0 = -3 + -2x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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