sin(4*pi*x)+4*pi*x*cos(4*pi*x)=0

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Solution for sin(4*pi*x)+4*pi*x*cos(4*pi*x)=0 equation:


Simplifying
sin(4pi * x) + 4pi * x * cos(4pi * x) = 0

Multiply ip * x
ins(4ipx) + 4pi * x * cos(4pi * x) = 0

Remove parenthesis around (4ipx)
ins * 4ipx + 4pi * x * cos(4pi * x) = 0

Reorder the terms for easier multiplication:
4ins * ipx + 4pi * x * cos(4pi * x) = 0

Multiply ins * ipx
4i2npsx + 4pi * x * cos(4pi * x) = 0

Multiply ip * x
4i2npsx + 4ip * x * cos(4ipx) = 0

Remove parenthesis around (4ipx)
4i2npsx + 4ip * x * cos * 4ipx = 0

Reorder the terms for easier multiplication:
4i2npsx + 4 * 4ip * x * cos * ipx = 0

Multiply 4 * 4
4i2npsx + 16ip * x * cos * ipx = 0

Multiply ip * x
4i2npsx + 16ipx * cos * ipx = 0

Multiply ipx * cos
4i2npsx + 16ciopsx * ipx = 0

Multiply ciopsx * ipx
4i2npsx + 16ci2op2sx2 = 0

Reorder the terms:
16ci2op2sx2 + 4i2npsx = 0

Solving
16ci2op2sx2 + 4i2npsx = 0

Solving for variable 'c'.

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

Add '-4i2npsx' to each side of the equation.
16ci2op2sx2 + 4i2npsx + -4i2npsx = 0 + -4i2npsx

Combine like terms: 4i2npsx + -4i2npsx = 0
16ci2op2sx2 + 0 = 0 + -4i2npsx
16ci2op2sx2 = 0 + -4i2npsx
Remove the zero:
16ci2op2sx2 = -4i2npsx

Divide each side by '16i2op2sx2'.
c = -0.25no-1p-1x-1

Simplifying
c = -0.25no-1p-1x-1

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