4cos(2x)-2sin(x)-3=0

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Solution for 4cos(2x)-2sin(x)-3=0 equation:


Simplifying
4cos(2x) + -2sin(x) + -3 = 0

Remove parenthesis around (2x)
4cos * 2x + -2sin(x) + -3 = 0

Reorder the terms for easier multiplication:
4 * 2cos * x + -2sin(x) + -3 = 0

Multiply 4 * 2
8cos * x + -2sin(x) + -3 = 0

Multiply cos * x
8cosx + -2sin(x) + -3 = 0

Multiply ins * x
8cosx + -2insx + -3 = 0

Reorder the terms:
-3 + 8cosx + -2insx = 0

Solving
-3 + 8cosx + -2insx = 0

Solving for variable 'c'.

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

Add '3' to each side of the equation.
-3 + 8cosx + 3 + -2insx = 0 + 3

Reorder the terms:
-3 + 3 + 8cosx + -2insx = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 8cosx + -2insx = 0 + 3
8cosx + -2insx = 0 + 3

Combine like terms: 0 + 3 = 3
8cosx + -2insx = 3

Add '2insx' to each side of the equation.
8cosx + -2insx + 2insx = 3 + 2insx

Combine like terms: -2insx + 2insx = 0
8cosx + 0 = 3 + 2insx
8cosx = 3 + 2insx

Divide each side by '8osx'.
c = 0.375o-1s-1x-1 + 0.25ino-1

Simplifying
c = 0.375o-1s-1x-1 + 0.25ino-1

Reorder the terms:
c = 0.25ino-1 + 0.375o-1s-1x-1

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