5sin(2x)-2cos(2x)+3=0

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Solution for 5sin(2x)-2cos(2x)+3=0 equation:


Simplifying
5sin(2x) + -2cos(2x) + 3 = 0

Remove parenthesis around (2x)
5ins * 2x + -2cos(2x) + 3 = 0

Reorder the terms for easier multiplication:
5 * 2ins * x + -2cos(2x) + 3 = 0

Multiply 5 * 2
10ins * x + -2cos(2x) + 3 = 0

Multiply ins * x
10insx + -2cos(2x) + 3 = 0

Remove parenthesis around (2x)
10insx + -2cos * 2x + 3 = 0

Reorder the terms for easier multiplication:
10insx + -2 * 2cos * x + 3 = 0

Multiply -2 * 2
10insx + -4cos * x + 3 = 0

Multiply cos * x
10insx + -4cosx + 3 = 0

Reorder the terms:
3 + -4cosx + 10insx = 0

Solving
3 + -4cosx + 10insx = 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 + -4cosx + -3 + 10insx = 0 + -3

Reorder the terms:
3 + -3 + -4cosx + 10insx = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4cosx + 10insx = 0 + -3
-4cosx + 10insx = 0 + -3

Combine like terms: 0 + -3 = -3
-4cosx + 10insx = -3

Add '-10insx' to each side of the equation.
-4cosx + 10insx + -10insx = -3 + -10insx

Combine like terms: 10insx + -10insx = 0
-4cosx + 0 = -3 + -10insx
-4cosx = -3 + -10insx

Divide each side by '-4osx'.
c = 0.75o-1s-1x-1 + 2.5ino-1

Simplifying
c = 0.75o-1s-1x-1 + 2.5ino-1

Reorder the terms:
c = 2.5ino-1 + 0.75o-1s-1x-1

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