10+8*sin(2x)+6*cos(2x)=0

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Solution for 10+8*sin(2x)+6*cos(2x)=0 equation:


Simplifying
10 + 8sin(2x) + 6cos(2x) = 0

Remove parenthesis around (2x)
10 + 8ins * 2x + 6cos(2x) = 0

Reorder the terms for easier multiplication:
10 + 8 * 2ins * x + 6cos(2x) = 0

Multiply 8 * 2
10 + 16ins * x + 6cos(2x) = 0

Multiply ins * x
10 + 16insx + 6cos(2x) = 0

Remove parenthesis around (2x)
10 + 16insx + 6cos * 2x = 0

Reorder the terms for easier multiplication:
10 + 16insx + 6 * 2cos * x = 0

Multiply 6 * 2
10 + 16insx + 12cos * x = 0

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

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

Solving
10 + 12cosx + 16insx = 0

Solving for variable 'c'.

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

Add '-10' to each side of the equation.
10 + 12cosx + -10 + 16insx = 0 + -10

Reorder the terms:
10 + -10 + 12cosx + 16insx = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 12cosx + 16insx = 0 + -10
12cosx + 16insx = 0 + -10

Combine like terms: 0 + -10 = -10
12cosx + 16insx = -10

Add '-16insx' to each side of the equation.
12cosx + 16insx + -16insx = -10 + -16insx

Combine like terms: 16insx + -16insx = 0
12cosx + 0 = -10 + -16insx
12cosx = -10 + -16insx

Divide each side by '12osx'.
c = -0.8333333333o-1s-1x-1 + -1.333333333ino-1

Simplifying
c = -0.8333333333o-1s-1x-1 + -1.333333333ino-1

Reorder the terms:
c = -1.333333333ino-1 + -0.8333333333o-1s-1x-1

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