196=324+x^2-36x*cos(45)

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Solution for 196=324+x^2-36x*cos(45) equation:


Simplifying
196 = 324 + x2 + -36x * cos(45)

Reorder the terms for easier multiplication:
196 = 324 + x2 + -36 * 45x * cos

Multiply -36 * 45
196 = 324 + x2 + -1620x * cos

Multiply x * cos
196 = 324 + x2 + -1620cosx

Reorder the terms:
196 = 324 + -1620cosx + x2

Solving
196 = 324 + -1620cosx + x2

Solving for variable 'c'.

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

Add '1620cosx' to each side of the equation.
196 + 1620cosx = 324 + -1620cosx + 1620cosx + x2

Combine like terms: -1620cosx + 1620cosx = 0
196 + 1620cosx = 324 + 0 + x2
196 + 1620cosx = 324 + x2

Add '-196' to each side of the equation.
196 + -196 + 1620cosx = 324 + -196 + x2

Combine like terms: 196 + -196 = 0
0 + 1620cosx = 324 + -196 + x2
1620cosx = 324 + -196 + x2

Combine like terms: 324 + -196 = 128
1620cosx = 128 + x2

Divide each side by '1620osx'.
c = 0.07901234568o-1s-1x-1 + 0.0006172839506o-1s-1x

Simplifying
c = 0.07901234568o-1s-1x-1 + 0.0006172839506o-1s-1x

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