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Simplifying f(x) = 3x + -12whenf(x) + 0 Multiply f * x fx = 3x + -12whenf(x) + 0 Multiply efhnw * x fx = 3x + -12efhnwx + 0 Reorder the terms: fx = 0 + -12efhnwx + 3x Remove the zero: fx = -12efhnwx + 3x Solving fx = -12efhnwx + 3x Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '12efhnwx' to each side of the equation. 12efhnwx + fx = -12efhnwx + 12efhnwx + 3x Combine like terms: -12efhnwx + 12efhnwx = 0 12efhnwx + fx = 0 + 3x 12efhnwx + fx = 3x Combine like terms: 3x + -3x = 0 12efhnwx + fx + -3x = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(12efhnw + f + -3) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing f to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x = 0 + -1x Remove the zero: 0 = -1x Simplifying 0 = -1x 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 '(12efhnw + f + -3)' equal to zero and attempt to solve: Simplifying 12efhnw + f + -3 = 0 Reorder the terms: -3 + 12efhnw + f = 0 Solving -3 + 12efhnw + f = 0 Move all terms containing f to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 12efhnw + 3 + f = 0 + 3 Reorder the terms: -3 + 3 + 12efhnw + f = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 12efhnw + f = 0 + 3 12efhnw + f = 0 + 3 Combine like terms: 0 + 3 = 3 12efhnw + f = 3 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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