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Simplifying f(7) * if(x) = 5x Reorder the terms for easier multiplication: 7f * fi * x = 5x Multiply f * fi 7f2i * x = 5x Multiply f2i * x 7f2ix = 5x Solving 7f2ix = 5x Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by '7ix'. f2 = 0.7142857143i-1 Simplifying f2 = 0.7142857143i-1 Combine like terms: 0.7142857143i-1 + -0.7142857143i-1 = 0.0000000000 f2 + -0.7142857143i-1 = 0.0000000000 Factor out the Greatest Common Factor (GCF), 'i-1'. i-1(f2i + -0.7142857143) = 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 + -0.7142857143)' equal to zero and attempt to solve: Simplifying f2i + -0.7142857143 = 0 Reorder the terms: -0.7142857143 + f2i = 0 Solving -0.7142857143 + f2i = 0 Move all terms containing f to the left, all other terms to the right. Add '0.7142857143' to each side of the equation. -0.7142857143 + 0.7142857143 + f2i = 0 + 0.7142857143 Combine like terms: -0.7142857143 + 0.7142857143 = 0.0000000000 0.0000000000 + f2i = 0 + 0.7142857143 f2i = 0 + 0.7142857143 Combine like terms: 0 + 0.7142857143 = 0.7142857143 f2i = 0.7142857143 Divide each side by 'i'. f2 = 0.7142857143i-1 Simplifying f2 = 0.7142857143i-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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