2cos^2(5x)-1=0

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Solution for 2cos^2(5x)-1=0 equation:


Simplifying
2cos2(5x) + -1 = 0

Remove parenthesis around (5x)
2cos2 * 5x + -1 = 0

Reorder the terms for easier multiplication:
2 * 5cos2 * x + -1 = 0

Multiply 2 * 5
10cos2 * x + -1 = 0

Multiply cos2 * x
10cos2x + -1 = 0

Reorder the terms:
-1 + 10cos2x = 0

Solving
-1 + 10cos2x = 0

Solving for variable 'c'.

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

Add '1' to each side of the equation.
-1 + 1 + 10cos2x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 10cos2x = 0 + 1
10cos2x = 0 + 1

Combine like terms: 0 + 1 = 1
10cos2x = 1

Divide each side by '10os2x'.
c = 0.1o-1s-2x-1

Simplifying
c = 0.1o-1s-2x-1

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