s(t)=(5x)(sin(2x))

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Solution for s(t)=(5x)(sin(2x)) equation: 


Simplifying
s(t) = (5x)(sin(2x))

Multiply s * t
st = (5x)(sin(2x))

Remove parenthesis around (5x)
st = 5x(sin(2x))

Remove parenthesis around (2x)
st = 5x(ins * 2x)

Reorder the terms for easier multiplication:
st = 5x(2ins * x)

Multiply ins * x
st = 5x(2insx)

Remove parenthesis around (2insx)
st = 5x * 2insx

Reorder the terms for easier multiplication:
st = 5 * 2x * insx

Multiply 5 * 2
st = 10x * insx

Multiply x * insx
st = 10insx2

Solving
st = 10insx2

Solving for variable 's'.

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

Add '-10insx2' to each side of the equation.
-10insx2 + st = 10insx2 + -10insx2

Combine like terms: 10insx2 + -10insx2 = 0
-10insx2 + st = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(-10inx2 + t) = 0


Subproblem 1
Set the factor 's' equal to zero and attempt to solve:

Simplifying
s = 0

Solving
s = 0

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

Simplifying
s = 0

Subproblem 2
Set the factor '(-10inx2 + t)' equal to zero and attempt to solve:

Simplifying
-10inx2 + t = 0

Solving
-10inx2 + t = 0

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

Add '10inx2' to each side of the equation.
-10inx2 + 10inx2 + t = 0 + 10inx2

Combine like terms: -10inx2 + 10inx2 = 0
0 + t = 0 + 10inx2
t = 0 + 10inx2
Remove the zero:
t = 10inx2

Add '-1t' to each side of the equation.
t + -1t = 10inx2 + -1t

Combine like terms: t + -1t = 0
0 = 10inx2 + -1t

Simplifying
0 = 10inx2 + -1t

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
s = {0}

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