F(x)=4tan^2(2x)

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Solution for F(x)=4tan^2(2x) equation:


Simplifying
F(x) = 4tan2(2x)

Multiply F * x
xF = 4tan2(2x)

Remove parenthesis around (2x)
xF = 4an2t * 2x

Reorder the terms for easier multiplication:
xF = 4 * 2an2t * x

Multiply 4 * 2
xF = 8an2t * x

Multiply an2t * x
xF = 8an2tx

Solving
xF = 8an2tx

Solving for variable 'x'.

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

Add '-8an2tx' to each side of the equation.
-8an2tx + xF = 8an2tx + -8an2tx

Combine like terms: 8an2tx + -8an2tx = 0
-8an2tx + xF = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-8an2t + F) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(-8an2t + F)' equal to zero and attempt to solve: Simplifying -8an2t + F = 0 Reorder the terms: F + -8an2t = 0 Solving F + -8an2t = 0 Move all terms containing x to the left, all other terms to the right. Add '-1F' to each side of the equation. F + -1F + -8an2t = 0 + -1F Combine like terms: F + -1F = 0 0 + -8an2t = 0 + -1F -8an2t = 0 + -1F Remove the zero: -8an2t = -1F Add '8an2t' to each side of the equation. -8an2t + 8an2t = -1F + 8an2t Combine like terms: -8an2t + 8an2t = 0 0 = -1F + 8an2t Simplifying 0 = -1F + 8an2t The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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