12cos(5x)-5sin(x)+3=0

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Solution for 12cos(5x)-5sin(x)+3=0 equation:


Simplifying
12cos(5x) + -5sin(x) + 3 = 0

Remove parenthesis around (5x)
12cos * 5x + -5sin(x) + 3 = 0

Reorder the terms for easier multiplication:
12 * 5cos * x + -5sin(x) + 3 = 0

Multiply 12 * 5
60cos * x + -5sin(x) + 3 = 0

Multiply cos * x
60cosx + -5sin(x) + 3 = 0

Multiply ins * x
60cosx + -5insx + 3 = 0

Reorder the terms:
3 + 60cosx + -5insx = 0

Solving
3 + 60cosx + -5insx = 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 + 60cosx + -3 + -5insx = 0 + -3

Reorder the terms:
3 + -3 + 60cosx + -5insx = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 60cosx + -5insx = 0 + -3
60cosx + -5insx = 0 + -3

Combine like terms: 0 + -3 = -3
60cosx + -5insx = -3

Add '5insx' to each side of the equation.
60cosx + -5insx + 5insx = -3 + 5insx

Combine like terms: -5insx + 5insx = 0
60cosx + 0 = -3 + 5insx
60cosx = -3 + 5insx

Divide each side by '60osx'.
c = -0.05o-1s-1x-1 + 0.08333333333ino-1

Simplifying
c = -0.05o-1s-1x-1 + 0.08333333333ino-1

Reorder the terms:
c = 0.08333333333ino-1 + -0.05o-1s-1x-1

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