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Simplifying f(x) + -3f(x + -12) = 0 Multiply f * x fx + -3f(x + -12) = 0 Reorder the terms: fx + -3f(-12 + x) = 0 fx + (-12 * -3f + x * -3f) = 0 fx + (36f + -3fx) = 0 Reorder the terms: 36f + fx + -3fx = 0 Combine like terms: fx + -3fx = -2fx 36f + -2fx = 0 Solving 36f + -2fx = 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), '2f'. 2f(18 + -1x) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'f' equal to zero and attempt to solve: Simplifying f = 0 Solving f = 0 Move all terms containing f to the left, all other terms to the right. Simplifying f = 0Subproblem 2
Set the factor '(18 + -1x)' equal to zero and attempt to solve: Simplifying 18 + -1x = 0 Solving 18 + -1x = 0 Move all terms containing f to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = 0 + -18 -1x = 0 + -18 Combine like terms: 0 + -18 = -18 -1x = -18 Add 'x' to each side of the equation. -1x + x = -18 + x Combine like terms: -1x + x = 0 0 = -18 + x Simplifying 0 = -18 + x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
f = {0}
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