6cos(15x)+3=4cos(15x)+4

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Solution for 6cos(15x)+3=4cos(15x)+4 equation:


Simplifying
6cos(15x) + 3 = 4cos(15x) + 4

Remove parenthesis around (15x)
6cos * 15x + 3 = 4cos(15x) + 4

Reorder the terms for easier multiplication:
6 * 15cos * x + 3 = 4cos(15x) + 4

Multiply 6 * 15
90cos * x + 3 = 4cos(15x) + 4

Multiply cos * x
90cosx + 3 = 4cos(15x) + 4

Reorder the terms:
3 + 90cosx = 4cos(15x) + 4

Remove parenthesis around (15x)
3 + 90cosx = 4cos * 15x + 4

Reorder the terms for easier multiplication:
3 + 90cosx = 4 * 15cos * x + 4

Multiply 4 * 15
3 + 90cosx = 60cos * x + 4

Multiply cos * x
3 + 90cosx = 60cosx + 4

Reorder the terms:
3 + 90cosx = 4 + 60cosx

Solving
3 + 90cosx = 4 + 60cosx

Solving for variable 'c'.

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

Add '-60cosx' to each side of the equation.
3 + 90cosx + -60cosx = 4 + 60cosx + -60cosx

Combine like terms: 90cosx + -60cosx = 30cosx
3 + 30cosx = 4 + 60cosx + -60cosx

Combine like terms: 60cosx + -60cosx = 0
3 + 30cosx = 4 + 0
3 + 30cosx = 4

Add '-3' to each side of the equation.
3 + -3 + 30cosx = 4 + -3

Combine like terms: 3 + -3 = 0
0 + 30cosx = 4 + -3
30cosx = 4 + -3

Combine like terms: 4 + -3 = 1
30cosx = 1

Divide each side by '30osx'.
c = 0.03333333333o-1s-1x-1

Simplifying
c = 0.03333333333o-1s-1x-1

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