f(x)=2x^2-3xf(2n)

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Solution for f(x)=2x^2-3xf(2n) equation:


Simplifying
f(x) = 2x2 + -3xf(2n)

Multiply f * x
fx = 2x2 + -3xf(2n)

Remove parenthesis around (2n)
fx = 2x2 + -3fx * 2n

Reorder the terms for easier multiplication:
fx = 2x2 + -3 * 2fx * n

Multiply -3 * 2
fx = 2x2 + -6fx * n

Multiply fx * n
fx = 2x2 + -6fnx

Reorder the terms:
fx = -6fnx + 2x2

Solving
fx = -6fnx + 2x2

Solving for variable 'f'.

Move all terms containing f to the left, all other terms to the right.

Add '6fnx' to each side of the equation.
6fnx + fx = -6fnx + 6fnx + 2x2

Combine like terms: -6fnx + 6fnx = 0
6fnx + fx = 0 + 2x2
6fnx + fx = 2x2

Combine like terms: 2x2 + -2x2 = 0
6fnx + fx + -2x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(6fn + f + -2x) = 0

Subproblem 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 '(6fn + f + -2x)' equal to zero and attempt to solve: Simplifying 6fn + f + -2x = 0 Reorder the terms: f + 6fn + -2x = 0 Solving f + 6fn + -2x = 0 Move all terms containing f to the left, all other terms to the right. Add '2x' to each side of the equation. f + 6fn + -2x + 2x = 0 + 2x Combine like terms: -2x + 2x = 0 f + 6fn + 0 = 0 + 2x f + 6fn = 0 + 2x Remove the zero: f + 6fn = 2x 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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