x(t)=cos(2*3.14*1000*t)cos(2*3.14*100*t)

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Solution for x(t)=cos(2*3.14*1000*t)cos(2*3.14*100*t) equation: 


Simplifying
x(t) = cos(2 * 3.14 * 1000t) * cos(2 * 3.14 * 100t)

Multiply x * t
tx = cos(2 * 3.14 * 1000t) * cos(2 * 3.14 * 100t)

Multiply 2 * 3.14
tx = cos(6.28 * 1000t) * cos(2 * 3.14 * 100t)

Multiply 6.28 * 1000
tx = cos(6280t) * cos(2 * 3.14 * 100t)

Remove parenthesis around (6280t)
tx = cos * 6280t * cos(2 * 3.14 * 100t)

Multiply 2 * 3.14
tx = cos * 6280t * cos(6.28 * 100t)

Multiply 6.28 * 100
tx = cos * 6280t * cos(628t)

Remove parenthesis around (628t)
tx = cos * 6280t * cos * 628t

Reorder the terms for easier multiplication:
tx = 6280 * 628cos * t * cos * t

Multiply 6280 * 628
tx = 3943840cos * t * cos * t

Multiply cos * t
tx = 3943840cost * cos * t

Multiply cost * cos
tx = 3943840c2o2s2t * t

Multiply c2o2s2t * t
tx = 3943840c2o2s2t2

Solving
tx = 3943840c2o2s2t2

Solving for variable 't'.

Reorder the terms:
-3943840c2o2s2t2 + tx = 3943840c2o2s2t2 + -3943840c2o2s2t2

Combine like terms: 3943840c2o2s2t2 + -3943840c2o2s2t2 = 0
-3943840c2o2s2t2 + tx = 0

Factor out the Greatest Common Factor (GCF), 't'.
t(-3943840c2o2s2t + x) = 0


Subproblem 1
Set the factor 't' equal to zero and attempt to solve:

Simplifying
t = 0

Solving
t = 0

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

Simplifying
t = 0

Subproblem 2
Set the factor '(-3943840c2o2s2t + x)' equal to zero and attempt to solve:

Simplifying
-3943840c2o2s2t + x = 0

Solving
-3943840c2o2s2t + x = 0

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

Add '-1x' to each side of the equation.
-3943840c2o2s2t + x + -1x = 0 + -1x

Combine like terms: x + -1x = 0
-3943840c2o2s2t + 0 = 0 + -1x
-3943840c2o2s2t = 0 + -1x
Remove the zero:
-3943840c2o2s2t = -1x

Divide each side by '-3943840c2o2s2'.
t = 0.0000002535599821c-2o-2s-2x

Simplifying
t = 0.0000002535599821c-2o-2s-2x
Solution
t = {0, 0.0000002535599821c-2o-2s-2x}

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