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Simplifying 4f(x + -6) + -2 = 0 Reorder the terms: 4f(-6 + x) + -2 = 0 (-6 * 4f + x * 4f) + -2 = 0 (-24f + 4fx) + -2 = 0 Reorder the terms: -2 + -24f + 4fx = 0 Solving -2 + -24f + 4fx = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -24f + 2 + 4fx = 0 + 2 Reorder the terms: -2 + 2 + -24f + 4fx = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -24f + 4fx = 0 + 2 -24f + 4fx = 0 + 2 Combine like terms: 0 + 2 = 2 -24f + 4fx = 2 Reorder the terms: -2 + -24f + 4fx = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + -24f + 4fx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + -12f + 2fx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + -12f + 2fx)' equal to zero and attempt to solve: Simplifying -1 + -12f + 2fx = 0 Solving -1 + -12f + 2fx = 0 Move all terms containing f to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -12f + 1 + 2fx = 0 + 1 Reorder the terms: -1 + 1 + -12f + 2fx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -12f + 2fx = 0 + 1 -12f + 2fx = 0 + 1 Combine like terms: 0 + 1 = 1 -12f + 2fx = 1 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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