F(x)=sin(4x)cos(5x)

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Solution for F(x)=sin(4x)cos(5x) equation: 


Simplifying
F(x) = sin(4x) * cos(5x)

Multiply F * x
xF = sin(4x) * cos(5x)

Remove parenthesis around (4x)
xF = ins * 4x * cos(5x)

Remove parenthesis around (5x)
xF = ins * 4x * cos * 5x

Reorder the terms for easier multiplication:
xF = 4 * 5ins * x * cos * x

Multiply 4 * 5
xF = 20ins * x * cos * x

Multiply ins * x
xF = 20insx * cos * x

Multiply insx * cos
xF = 20cinos2x * x

Multiply cinos2x * x
xF = 20cinos2x2

Solving
xF = 20cinos2x2

Solving for variable 'x'.

Reorder the terms:
-20cinos2x2 + xF = 20cinos2x2 + -20cinos2x2

Combine like terms: 20cinos2x2 + -20cinos2x2 = 0
-20cinos2x2 + xF = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-20cinos2x + 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 '(-20cinos2x + F)' equal to zero and attempt to solve:

Simplifying
-20cinos2x + F = 0

Reorder the terms:
F + -20cinos2x = 0

Solving
F + -20cinos2x = 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 + -20cinos2x = 0 + -1F

Combine like terms: F + -1F = 0
0 + -20cinos2x = 0 + -1F
-20cinos2x = 0 + -1F
Remove the zero:
-20cinos2x = -1F

Divide each side by '-20cinos2'.
x = 0.05c-1i-1n-1o-1s-2F

Simplifying
x = 0.05c-1i-1n-1o-1s-2F
Solution
x = {0, 0.05c-1i-1n-1o-1s-2F}

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