sin(x)+cos(x)+2*sqrt(2)*(sin(x)*cos(x))=0

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Solution for sin(x)+cos(x)+2*sqrt(2)*(sin(x)*cos(x))=0 equation:


Simplifying
sin(x) + cos(x) + 2sqrt(2)(sin(x) * cos(x)) = 0

Multiply ins * x
insx + cos(x) + 2sqrt(2)(sin(x) * cos(x)) = 0

Multiply cos * x
insx + cosx + 2sqrt(2)(sin(x) * cos(x)) = 0

Multiply ins * x
insx + cosx + 2qrst * 2(insx * cos * x) = 0

Multiply insx * cos
insx + cosx + 2qrst * 2(cinos2x * x) = 0

Multiply cinos2x * x
insx + cosx + 2qrst * 2(cinos2x2) = 0

Reorder the terms for easier multiplication:
insx + cosx + 2 * 2qrst * cinos2x2 = 0

Multiply 2 * 2
insx + cosx + 4qrst * cinos2x2 = 0

Multiply qrst * cinos2x2
insx + cosx + 4cinoqrs3tx2 = 0

Reorder the terms:
4cinoqrs3tx2 + cosx + insx = 0

Solving
4cinoqrs3tx2 + cosx + insx = 0

Solving for variable 'c'.

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

Add '-1insx' to each side of the equation.
4cinoqrs3tx2 + cosx + insx + -1insx = 0 + -1insx

Combine like terms: insx + -1insx = 0
4cinoqrs3tx2 + cosx + 0 = 0 + -1insx
4cinoqrs3tx2 + cosx = 0 + -1insx
Remove the zero:
4cinoqrs3tx2 + cosx = -1insx

Combine like terms: -1insx + insx = 0
4cinoqrs3tx2 + cosx + insx = 0

Factor out the Greatest Common Factor (GCF), 'sx'.
sx(4cinoqrs2tx + co + in) = 0

Subproblem 1

Set the factor 'sx' equal to zero and attempt to solve: Simplifying sx = 0 Solving sx = 0 Move all terms containing c to the left, all other terms to the right. Add '-1sx' to each side of the equation. sx + -1sx = 0 + -1sx Remove the zero: 0 = -1sx Simplifying 0 = -1sx The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(4cinoqrs2tx + co + in)' equal to zero and attempt to solve: Simplifying 4cinoqrs2tx + co + in = 0 Solving 4cinoqrs2tx + co + in = 0 Move all terms containing c to the left, all other terms to the right. Add '-1in' to each side of the equation. 4cinoqrs2tx + co + in + -1in = 0 + -1in Combine like terms: in + -1in = 0 4cinoqrs2tx + co + 0 = 0 + -1in 4cinoqrs2tx + co = 0 + -1in Remove the zero: 4cinoqrs2tx + co = -1in The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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