F(x)=0.5tan(3x)

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Solution for F(x)=0.5tan(3x) equation:


Simplifying
F(x) = 0.5tan(3x)

Multiply F * x
xF = 0.5tan(3x)

Remove parenthesis around (3x)
xF = 0.5ant * 3x

Reorder the terms for easier multiplication:
xF = 0.5 * 3ant * x

Multiply 0.5 * 3
xF = 1.5ant * x

Multiply ant * x
xF = 1.5antx

Solving
xF = 1.5antx

Solving for variable 'x'.

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

Add '-1.5antx' to each side of the equation.
-1.5antx + xF = 1.5antx + -1.5antx

Combine like terms: 1.5antx + -1.5antx = 0.0
-1.5antx + xF = 0.0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1.5ant + F) = 0.0

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 '(-1.5ant + F)' equal to zero and attempt to solve: Simplifying -1.5ant + F = 0 Reorder the terms: F + -1.5ant = 0 Solving F + -1.5ant = 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 + -1.5ant = 0 + -1F Combine like terms: F + -1F = 0 0 + -1.5ant = 0 + -1F -1.5ant = 0 + -1F Remove the zero: -1.5ant = -1F Add '1.5ant' to each side of the equation. -1.5ant + 1.5ant = -1F + 1.5ant Combine like terms: -1.5ant + 1.5ant = 0.0 0.0 = -1F + 1.5ant Simplifying 0.0 = -1F + 1.5ant 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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