7sin(2x)-6=2cos^2(x)

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Solution for 7sin(2x)-6=2cos^2(x) equation:


Simplifying
7sin(2x) + -6 = 2cos2(x)

Remove parenthesis around (2x)
7ins * 2x + -6 = 2cos2(x)

Reorder the terms for easier multiplication:
7 * 2ins * x + -6 = 2cos2(x)

Multiply 7 * 2
14ins * x + -6 = 2cos2(x)

Multiply ins * x
14insx + -6 = 2cos2(x)

Reorder the terms:
-6 + 14insx = 2cos2(x)

Multiply cos2 * x
-6 + 14insx = 2cos2x

Solving
-6 + 14insx = 2cos2x

Solving for variable 'i'.

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

Add '6' to each side of the equation.
-6 + 6 + 14insx = 6 + 2cos2x

Combine like terms: -6 + 6 = 0
0 + 14insx = 6 + 2cos2x
14insx = 6 + 2cos2x

Divide each side by '14nsx'.
i = 0.4285714286n-1s-1x-1 + 0.1428571429cn-1os

Simplifying
i = 0.4285714286n-1s-1x-1 + 0.1428571429cn-1os

Reorder the terms:
i = 0.1428571429cn-1os + 0.4285714286n-1s-1x-1

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