8*cos^2x+8*senx*cosx=0

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Solution for 8*cos^2x+8*senx*cosx=0 equation:


Simplifying
8cos2x + 8senx * cosx = 0

Multiply ensx * cosx
8cos2x + 8cenos2x2 = 0

Reorder the terms:
8cenos2x2 + 8cos2x = 0

Solving
8cenos2x2 + 8cos2x = 0

Solving for variable 'c'.

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

Factor out the Greatest Common Factor (GCF), '8cos2x'.
8cos2x(enx + 1) = 0

Ignore the factor 8.

Subproblem 1

Set the factor 'cos2x' equal to zero and attempt to solve: Simplifying cos2x = 0 Solving cos2x = 0 Move all terms containing c to the left, all other terms to the right. Simplifying cos2x = 0 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 '(enx + 1)' equal to zero and attempt to solve: Simplifying enx + 1 = 0 Reorder the terms: 1 + enx = 0 Solving 1 + enx = 0 Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + enx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + enx = 0 + -1 enx = 0 + -1 Combine like terms: 0 + -1 = -1 enx = -1 Add '-1enx' to each side of the equation. enx + -1enx = -1 + -1enx Combine like terms: enx + -1enx = 0 0 = -1 + -1enx Simplifying 0 = -1 + -1enx 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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