18sin^2(x)+25cos(x)+18sin(x)cos(x)=0

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Solution for 18sin^2(x)+25cos(x)+18sin(x)cos(x)=0 equation: 


Simplifying
18sin2(x) + 25cos(x) + 18sin(x) * cos(x) = 0

Multiply in2s * x
18in2sx + 25cos(x) + 18sin(x) * cos(x) = 0

Multiply cos * x
18in2sx + 25cosx + 18sin(x) * cos(x) = 0

Multiply ins * x
18in2sx + 25cosx + 18insx * cos * x = 0

Multiply insx * cos
18in2sx + 25cosx + 18cinos2x * x = 0

Multiply cinos2x * x
18in2sx + 25cosx + 18cinos2x2 = 0

Reorder the terms:
18cinos2x2 + 25cosx + 18in2sx = 0

Solving
18cinos2x2 + 25cosx + 18in2sx = 0

Solving for variable 'c'.

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

Add '-18in2sx' to each side of the equation.
18cinos2x2 + 25cosx + 18in2sx + -18in2sx = 0 + -18in2sx

Combine like terms: 18in2sx + -18in2sx = 0
18cinos2x2 + 25cosx + 0 = 0 + -18in2sx
18cinos2x2 + 25cosx = 0 + -18in2sx
Remove the zero:
18cinos2x2 + 25cosx = -18in2sx

Combine like terms: -18in2sx + 18in2sx = 0
18cinos2x2 + 25cosx + 18in2sx = 0

Factor out the Greatest Common Factor (GCF), 'sx'.
sx(18cinosx + 25co + 18in2) = 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 '(18cinosx + 25co + 18in2)' equal to zero and attempt to solve:

Simplifying
18cinosx + 25co + 18in2 = 0

Solving
18cinosx + 25co + 18in2 = 0

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

Add '-18in2' to each side of the equation.
18cinosx + 25co + 18in2 + -18in2 = 0 + -18in2

Combine like terms: 18in2 + -18in2 = 0
18cinosx + 25co + 0 = 0 + -18in2
18cinosx + 25co = 0 + -18in2
Remove the zero:
18cinosx + 25co = -18in2

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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