5sin^2x-6sinx*cosx-8cos^2x=0

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Solution for 5sin^2x-6sinx*cosx-8cos^2x=0 equation: 


Simplifying
5sin2x + -6sinx * cosx + -8cos2x = 0

Multiply insx * cosx
5in2sx + -6cinos2x2 + -8cos2x = 0

Reorder the terms:
-6cinos2x2 + -8cos2x + 5in2sx = 0

Solving
-6cinos2x2 + -8cos2x + 5in2sx = 0

Solving for variable 'c'.

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

Add '-5in2sx' to each side of the equation.
-6cinos2x2 + -8cos2x + 5in2sx + -5in2sx = 0 + -5in2sx

Combine like terms: 5in2sx + -5in2sx = 0
-6cinos2x2 + -8cos2x + 0 = 0 + -5in2sx
-6cinos2x2 + -8cos2x = 0 + -5in2sx
Remove the zero:
-6cinos2x2 + -8cos2x = -5in2sx

Combine like terms: -5in2sx + 5in2sx = 0
-6cinos2x2 + -8cos2x + 5in2sx = 0

Factor out the Greatest Common Factor (GCF), 'sx'.
sx(-6cinosx + -8cos + 5in2) = 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 '(-6cinosx + -8cos + 5in2)' equal to zero and attempt to solve:

Simplifying
-6cinosx + -8cos + 5in2 = 0

Solving
-6cinosx + -8cos + 5in2 = 0

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

Add '-5in2' to each side of the equation.
-6cinosx + -8cos + 5in2 + -5in2 = 0 + -5in2

Combine like terms: 5in2 + -5in2 = 0
-6cinosx + -8cos + 0 = 0 + -5in2
-6cinosx + -8cos = 0 + -5in2
Remove the zero:
-6cinosx + -8cos = -5in2

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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