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Simplifying f(6) * if(x) = 4x Reorder the terms for easier multiplication: 6f * fi * x = 4x Multiply f * fi 6f2i * x = 4x Multiply f2i * x 6f2ix = 4x Solving 6f2ix = 4x Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by '6ix'. f2 = 0.6666666667i-1 Simplifying f2 = 0.6666666667i-1 Combine like terms: 0.6666666667i-1 + -0.6666666667i-1 = 0.0000000000 f2 + -0.6666666667i-1 = 0.0000000000 Factor out the Greatest Common Factor (GCF), 'i-1'. i-1(f2i + -0.6666666667) = 0.0000000000Subproblem 1
Set the factor 'i-1' equal to zero and attempt to solve: Simplifying i-1 = 0 Solving i-1 = 0 Move all terms containing f to the left, all other terms to the right. Add '-1i-1' to each side of the equation. i-1 + -1i-1 = 0 + -1i-1 Remove the zero: 0 = -1i-1 Simplifying 0 = -1i-1 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 '(f2i + -0.6666666667)' equal to zero and attempt to solve: Simplifying f2i + -0.6666666667 = 0 Reorder the terms: -0.6666666667 + f2i = 0 Solving -0.6666666667 + f2i = 0 Move all terms containing f to the left, all other terms to the right. Add '0.6666666667' to each side of the equation. -0.6666666667 + 0.6666666667 + f2i = 0 + 0.6666666667 Combine like terms: -0.6666666667 + 0.6666666667 = 0.0000000000 0.0000000000 + f2i = 0 + 0.6666666667 f2i = 0 + 0.6666666667 Combine like terms: 0 + 0.6666666667 = 0.6666666667 f2i = 0.6666666667 Divide each side by 'i'. f2 = 0.6666666667i-1 Simplifying f2 = 0.6666666667i-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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