4cos(4x)+6sin^2(2x)+5cos(2x)=0

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Solution for 4cos(4x)+6sin^2(2x)+5cos(2x)=0 equation:


Simplifying
4cos(4x) + 6sin2(2x) + 5cos(2x) = 0

Remove parenthesis around (4x)
4cos * 4x + 6sin2(2x) + 5cos(2x) = 0

Reorder the terms for easier multiplication:
4 * 4cos * x + 6sin2(2x) + 5cos(2x) = 0

Multiply 4 * 4
16cos * x + 6sin2(2x) + 5cos(2x) = 0

Multiply cos * x
16cosx + 6sin2(2x) + 5cos(2x) = 0

Remove parenthesis around (2x)
16cosx + 6in2s * 2x + 5cos(2x) = 0

Reorder the terms for easier multiplication:
16cosx + 6 * 2in2s * x + 5cos(2x) = 0

Multiply 6 * 2
16cosx + 12in2s * x + 5cos(2x) = 0

Multiply in2s * x
16cosx + 12in2sx + 5cos(2x) = 0

Remove parenthesis around (2x)
16cosx + 12in2sx + 5cos * 2x = 0

Reorder the terms for easier multiplication:
16cosx + 12in2sx + 5 * 2cos * x = 0

Multiply 5 * 2
16cosx + 12in2sx + 10cos * x = 0

Multiply cos * x
16cosx + 12in2sx + 10cosx = 0

Reorder the terms:
16cosx + 10cosx + 12in2sx = 0

Combine like terms: 16cosx + 10cosx = 26cosx
26cosx + 12in2sx = 0

Solving
26cosx + 12in2sx = 0

Solving for variable 'c'.

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

Add '-12in2sx' to each side of the equation.
26cosx + 12in2sx + -12in2sx = 0 + -12in2sx

Combine like terms: 12in2sx + -12in2sx = 0
26cosx + 0 = 0 + -12in2sx
26cosx = 0 + -12in2sx
Remove the zero:
26cosx = -12in2sx

Divide each side by '26osx'.
c = -0.4615384615in2o-1

Simplifying
c = -0.4615384615in2o-1

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