F(x)=8sin^2(5x)

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Solution for F(x)=8sin^2(5x) equation: 


Simplifying
F(x) = 8sin2(5x)

Multiply F * x
xF = 8sin2(5x)

Remove parenthesis around (5x)
xF = 8in2s * 5x

Reorder the terms for easier multiplication:
xF = 8 * 5in2s * x

Multiply 8 * 5
xF = 40in2s * x

Multiply in2s * x
xF = 40in2sx

Solving
xF = 40in2sx

Solving for variable 'x'.

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

Add '-40in2sx' to each side of the equation.
-40in2sx + xF = 40in2sx + -40in2sx

Combine like terms: 40in2sx + -40in2sx = 0
-40in2sx + xF = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-40in2s + 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 '(-40in2s + F)' equal to zero and attempt to solve:

Simplifying
-40in2s + F = 0

Reorder the terms:
F + -40in2s = 0

Solving
F + -40in2s = 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 + -40in2s = 0 + -1F

Combine like terms: F + -1F = 0
0 + -40in2s = 0 + -1F
-40in2s = 0 + -1F
Remove the zero:
-40in2s = -1F

Add '40in2s' to each side of the equation.
-40in2s + 40in2s = -1F + 40in2s

Combine like terms: -40in2s + 40in2s = 0
0 = -1F + 40in2s

Simplifying
0 = -1F + 40in2s

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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