F(x)=tan(3x^2-4x)

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Solution for F(x)=tan(3x^2-4x) equation: 


Simplifying
F(x) = tan(3x2 + -4x)

Multiply F * x
xF = tan(3x2 + -4x)

Reorder the terms:
xF = ant(-4x + 3x2)
xF = (-4x * ant + 3x2 * ant)
xF = (-4antx + 3antx2)

Solving
xF = -4antx + 3antx2

Solving for variable 'x'.

Reorder the terms:
4antx + -3antx2 + xF = -4antx + 3antx2 + 4antx + -3antx2

Reorder the terms:
4antx + -3antx2 + xF = -4antx + 4antx + 3antx2 + -3antx2

Combine like terms: -4antx + 4antx = 0
4antx + -3antx2 + xF = 0 + 3antx2 + -3antx2
4antx + -3antx2 + xF = 3antx2 + -3antx2

Combine like terms: 3antx2 + -3antx2 = 0
4antx + -3antx2 + xF = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(4ant + -3antx + 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 '(4ant + -3antx + F)' equal to zero and attempt to solve:

Simplifying
4ant + -3antx + F = 0

Reorder the terms:
F + 4ant + -3antx = 0

Solving
F + 4ant + -3antx = 0

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

Add '-1F' to each side of the equation.
F + 4ant + -1F + -3antx = 0 + -1F

Reorder the terms:
F + -1F + 4ant + -3antx = 0 + -1F

Combine like terms: F + -1F = 0
0 + 4ant + -3antx = 0 + -1F
4ant + -3antx = 0 + -1F
Remove the zero:
4ant + -3antx = -1F

Add '-4ant' to each side of the equation.
4ant + -4ant + -3antx = -1F + -4ant

Combine like terms: 4ant + -4ant = 0
0 + -3antx = -1F + -4ant
-3antx = -1F + -4ant

Divide each side by '-3ant'.
x = 0.3333333333a-1n-1t-1F + 1.333333333

Simplifying
x = 0.3333333333a-1n-1t-1F + 1.333333333

Reorder the terms:
x = 1.333333333 + 0.3333333333a-1n-1t-1F
Solution
x = {0, 1.333333333 + 0.3333333333a-1n-1t-1F}

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