0=A*cos(2x)-(B*sin(x)*cos(2x)+cos(x)*sin(2x))

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Solution for 0=A*cos(2x)-(B*sin(x)*cos(2x)+cos(x)*sin(2x)) equation:


Simplifying
0 = A * cos(2x) + -1(B * sin(x) * cos(2x) + cos(x) * sin(2x))

Remove parenthesis around (2x)
0 = A * cos * 2x + -1(B * sin(x) * cos(2x) + cos(x) * sin(2x))

Reorder the terms for easier multiplication:
0 = 2A * cos * x + -1(B * sin(x) * cos(2x) + cos(x) * sin(2x))

Multiply A * cos
0 = 2cosA * x + -1(B * sin(x) * cos(2x) + cos(x) * sin(2x))

Multiply cosA * x
0 = 2cosxA + -1(B * sin(x) * cos(2x) + cos(x) * sin(2x))

Remove parenthesis around (2x)
0 = 2cosxA + -1(B * ins * x * cos * 2x + cos(x) * sin(2x))

Reorder the terms for easier multiplication:
0 = 2cosxA + -1(2B * ins * x * cos * x + cos(x) * sin(2x))

Multiply B * ins
0 = 2cosxA + -1(2insB * x * cos * x + cos(x) * sin(2x))

Multiply insB * x
0 = 2cosxA + -1(2insxB * cos * x + cos(x) * sin(2x))

Multiply insxB * cos
0 = 2cosxA + -1(2cinos2xB * x + cos(x) * sin(2x))

Multiply cinos2xB * x
0 = 2cosxA + -1(2cinos2x2B + cos(x) * sin(2x))

Remove parenthesis around (2x)
0 = 2cosxA + -1(2cinos2x2B + cos * x * ins * 2x)

Reorder the terms for easier multiplication:
0 = 2cosxA + -1(2cinos2x2B + 2cos * x * ins * x)

Multiply cos * x
0 = 2cosxA + -1(2cinos2x2B + 2cosx * ins * x)

Multiply cosx * ins
0 = 2cosxA + -1(2cinos2x2B + 2cinos2x * x)

Multiply cinos2x * x
0 = 2cosxA + -1(2cinos2x2B + 2cinos2x2)

Reorder the terms:
0 = 2cosxA + -1(2cinos2x2 + 2cinos2x2B)
0 = 2cosxA + (2cinos2x2 * -1 + 2cinos2x2B * -1)
0 = 2cosxA + (-2cinos2x2 + -2cinos2x2B)

Reorder the terms:
0 = -2cinos2x2 + -2cinos2x2B + 2cosxA

Solving
0 = -2cinos2x2 + -2cinos2x2B + 2cosxA

Solving for variable 'c'.

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

Add '2cinos2x2' to each side of the equation.
0 + 2cinos2x2 = -2cinos2x2 + -2cinos2x2B + 2cinos2x2 + 2cosxA
Remove the zero:
2cinos2x2 = -2cinos2x2 + -2cinos2x2B + 2cinos2x2 + 2cosxA

Reorder the terms:
2cinos2x2 = -2cinos2x2 + 2cinos2x2 + -2cinos2x2B + 2cosxA

Combine like terms: -2cinos2x2 + 2cinos2x2 = 0
2cinos2x2 = 0 + -2cinos2x2B + 2cosxA
2cinos2x2 = -2cinos2x2B + 2cosxA

Add '2cinos2x2B' to each side of the equation.
2cinos2x2 + 2cinos2x2B = -2cinos2x2B + 2cinos2x2B + 2cosxA

Combine like terms: -2cinos2x2B + 2cinos2x2B = 0
2cinos2x2 + 2cinos2x2B = 0 + 2cosxA
2cinos2x2 + 2cinos2x2B = 2cosxA

Add '-2cosxA' to each side of the equation.
2cinos2x2 + 2cinos2x2B + -2cosxA = 2cosxA + -2cosxA

Combine like terms: 2cosxA + -2cosxA = 0
2cinos2x2 + 2cinos2x2B + -2cosxA = 0

Factor out the Greatest Common Factor (GCF), '2cosx'.
2cosx(insx + insxB + -1A) = 0

Ignore the factor 2.

Subproblem 1

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