5sin(x)-5cos(x)+1=0

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Solution for 5sin(x)-5cos(x)+1=0 equation:


Simplifying
5sin(x) + -5cos(x) + 1 = 0

Multiply ins * x
5insx + -5cos(x) + 1 = 0

Multiply cos * x
5insx + -5cosx + 1 = 0

Reorder the terms:
1 + -5cosx + 5insx = 0

Solving
1 + -5cosx + 5insx = 0

Solving for variable 'c'.

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

Add '-1' to each side of the equation.
1 + -5cosx + -1 + 5insx = 0 + -1

Reorder the terms:
1 + -1 + -5cosx + 5insx = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5cosx + 5insx = 0 + -1
-5cosx + 5insx = 0 + -1

Combine like terms: 0 + -1 = -1
-5cosx + 5insx = -1

Add '-5insx' to each side of the equation.
-5cosx + 5insx + -5insx = -1 + -5insx

Combine like terms: 5insx + -5insx = 0
-5cosx + 0 = -1 + -5insx
-5cosx = -1 + -5insx

Divide each side by '-5osx'.
c = 0.2o-1s-1x-1 + ino-1

Simplifying
c = 0.2o-1s-1x-1 + ino-1

Reorder the terms:
c = ino-1 + 0.2o-1s-1x-1

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