2xcos(2x)-x^2+4x-4=0

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Solution for 2xcos(2x)-x^2+4x-4=0 equation:


Simplifying
2xcos(2x) + -1x2 + 4x + -4 = 0

Remove parenthesis around (2x)
2cosx * 2x + -1x2 + 4x + -4 = 0

Reorder the terms for easier multiplication:
2 * 2cosx * x + -1x2 + 4x + -4 = 0

Multiply 2 * 2
4cosx * x + -1x2 + 4x + -4 = 0

Multiply cosx * x
4cosx2 + -1x2 + 4x + -4 = 0

Reorder the terms:
-4 + 4cosx2 + 4x + -1x2 = 0

Solving
-4 + 4cosx2 + 4x + -1x2 = 0

Solving for variable 'c'.

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

Add '4' to each side of the equation.
-4 + 4cosx2 + 4x + 4 + -1x2 = 0 + 4

Reorder the terms:
-4 + 4 + 4cosx2 + 4x + -1x2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 4cosx2 + 4x + -1x2 = 0 + 4
4cosx2 + 4x + -1x2 = 0 + 4

Combine like terms: 0 + 4 = 4
4cosx2 + 4x + -1x2 = 4

Add '-4x' to each side of the equation.
4cosx2 + 4x + -4x + -1x2 = 4 + -4x

Combine like terms: 4x + -4x = 0
4cosx2 + 0 + -1x2 = 4 + -4x
4cosx2 + -1x2 = 4 + -4x

Add 'x2' to each side of the equation.
4cosx2 + -1x2 + x2 = 4 + -4x + x2

Combine like terms: -1x2 + x2 = 0
4cosx2 + 0 = 4 + -4x + x2
4cosx2 = 4 + -4x + x2

Divide each side by '4osx2'.
c = o-1s-1x-2 + -1o-1s-1x-1 + 0.25o-1s-1

Simplifying
c = o-1s-1x-2 + -1o-1s-1x-1 + 0.25o-1s-1

Reorder the terms:
c = 0.25o-1s-1 + o-1s-1x-2 + -1o-1s-1x-1

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