[10cos^2(x)]-[5sin(2x)]+2=0

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Solution for [10cos^2(x)]-[5sin(2x)]+2=0 equation:


Simplifying
[10cos2(x)] + -1[5sin(2x)] + 2 = 0

Multiply cos2 * x
[10cos2x] + -1[5sin(2x)] + 2 = 0

Remove parenthesis around (2x)
[10cos2x] + -1[5ins * 2x] + 2 = 0

Reorder the terms for easier multiplication:
[10cos2x] + -1[5 * 2ins * x] + 2 = 0

Multiply 5 * 2
[10cos2x] + -1[10ins * x] + 2 = 0

Multiply ins * x
[10cos2x] + -1[10insx] + 2 = 0

Remove brackets around [10insx]
[10cos2x] + -1 * 10insx + 2 = 0

Multiply -1 * 10
[10cos2x] + -10insx + 2 = 0

Reorder the terms:
2 + [10cos2x] + -10insx = 0

Solving
2 + [10cos2x] + -10insx = 0

Solving for variable 'c'.

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

Add '-2' to each side of the equation.
2 + [10cos2x] + -2 + -10insx = 0 + -2

Reorder the terms:
2 + -2 + [10cos2x] + -10insx = 0 + -2

Combine like terms: 2 + -2 = 0
0 + [10cos2x] + -10insx = 0 + -2
[10cos2x] + -10insx = 0 + -2

Combine like terms: 0 + -2 = -2
[10cos2x] + -10insx = -2

Add '10insx' to each side of the equation.
[10cos2x] + -10insx + 10insx = -2 + 10insx

Combine like terms: -10insx + 10insx = 0
[10cos2x] + 0 = -2 + 10insx
[10cos2x] = -2 + 10insx

Divide each side by '[10os2x]'.
c = -0.2o-1s-2x-1 + ino-1s-1

Simplifying
c = -0.2o-1s-2x-1 + ino-1s-1

Reorder the terms:
c = ino-1s-1 + -0.2o-1s-2x-1

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