2cos^2(x)-3sin(x)cos(x)-2sin^2(x)=0

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Solution for 2cos^2(x)-3sin(x)cos(x)-2sin^2(x)=0 equation:


Simplifying
2cos2(x) + -3sin(x) * cos(x) + -2sin2(x) = 0

Multiply cos2 * x
2cos2x + -3sin(x) * cos(x) + -2sin2(x) = 0

Multiply ins * x
2cos2x + -3insx * cos * x + -2sin2(x) = 0

Multiply insx * cos
2cos2x + -3cinos2x * x + -2sin2(x) = 0

Multiply cinos2x * x
2cos2x + -3cinos2x2 + -2sin2(x) = 0

Multiply in2s * x
2cos2x + -3cinos2x2 + -2in2sx = 0

Reorder the terms:
-3cinos2x2 + 2cos2x + -2in2sx = 0

Solving
-3cinos2x2 + 2cos2x + -2in2sx = 0

Solving for variable 'c'.

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

Add '2in2sx' to each side of the equation.
-3cinos2x2 + 2cos2x + -2in2sx + 2in2sx = 0 + 2in2sx

Combine like terms: -2in2sx + 2in2sx = 0
-3cinos2x2 + 2cos2x + 0 = 0 + 2in2sx
-3cinos2x2 + 2cos2x = 0 + 2in2sx
Remove the zero:
-3cinos2x2 + 2cos2x = 2in2sx

Combine like terms: 2in2sx + -2in2sx = 0
-3cinos2x2 + 2cos2x + -2in2sx = 0

Factor out the Greatest Common Factor (GCF), 'sx'.
sx(-3cinosx + 2cos + -2in2) = 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 '(-3cinosx + 2cos + -2in2)' equal to zero and attempt to solve: Simplifying -3cinosx + 2cos + -2in2 = 0 Solving -3cinosx + 2cos + -2in2 = 0 Move all terms containing c to the left, all other terms to the right. Add '2in2' to each side of the equation. -3cinosx + 2cos + -2in2 + 2in2 = 0 + 2in2 Combine like terms: -2in2 + 2in2 = 0 -3cinosx + 2cos + 0 = 0 + 2in2 -3cinosx + 2cos = 0 + 2in2 Remove the zero: -3cinosx + 2cos = 2in2 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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