-12*sin(2*x)-4*x*cos(2*x)=0

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Solution for -12*sin(2*x)-4*x*cos(2*x)=0 equation:


Simplifying
-12sin(2x) + -4x * cos(2x) = 0

Remove parenthesis around (2x)
-12ins * 2x + -4x * cos(2x) = 0

Reorder the terms for easier multiplication:
-12 * 2ins * x + -4x * cos(2x) = 0

Multiply -12 * 2
-24ins * x + -4x * cos(2x) = 0

Multiply ins * x
-24insx + -4x * cos(2x) = 0

Remove parenthesis around (2x)
-24insx + -4x * cos * 2x = 0

Reorder the terms for easier multiplication:
-24insx + -4 * 2x * cos * x = 0

Multiply -4 * 2
-24insx + -8x * cos * x = 0

Multiply x * cos
-24insx + -8cosx * x = 0

Multiply cosx * x
-24insx + -8cosx2 = 0

Reorder the terms:
-8cosx2 + -24insx = 0

Solving
-8cosx2 + -24insx = 0

Solving for variable 'c'.

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

Add '24insx' to each side of the equation.
-8cosx2 + -24insx + 24insx = 0 + 24insx

Combine like terms: -24insx + 24insx = 0
-8cosx2 + 0 = 0 + 24insx
-8cosx2 = 0 + 24insx
Remove the zero:
-8cosx2 = 24insx

Divide each side by '-8osx2'.
c = -3ino-1x-1

Simplifying
c = -3ino-1x-1

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