2sec^2x=3(2-tanx)

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Solution for 2sec^2x=3(2-tanx) equation:


Simplifying
2sec2x = 3(2 + -1tanx)
2c2esx = (2 * 3 + -1antx * 3)
2c2esx = (6 + -3antx)

Solving
2c2esx = 6 + -3antx

Solving for variable 'c'.

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

Divide each side by '2esx'.
c2 = 3e-1s-1x-1 + -1.5ae-1ns-1t

Simplifying
c2 = 3e-1s-1x-1 + -1.5ae-1ns-1t

Reorder the terms:
c2 = -1.5ae-1ns-1t + 3e-1s-1x-1

Reorder the terms:
1.5ae-1ns-1t + c2 + -3e-1s-1x-1 = -1.5ae-1ns-1t + 3e-1s-1x-1 + 1.5ae-1ns-1t + -3e-1s-1x-1

Reorder the terms:
1.5ae-1ns-1t + c2 + -3e-1s-1x-1 = -1.5ae-1ns-1t + 1.5ae-1ns-1t + 3e-1s-1x-1 + -3e-1s-1x-1

Combine like terms: -1.5ae-1ns-1t + 1.5ae-1ns-1t = 0.0
1.5ae-1ns-1t + c2 + -3e-1s-1x-1 = 0.0 + 3e-1s-1x-1 + -3e-1s-1x-1
1.5ae-1ns-1t + c2 + -3e-1s-1x-1 = 3e-1s-1x-1 + -3e-1s-1x-1

Combine like terms: 3e-1s-1x-1 + -3e-1s-1x-1 = 0
1.5ae-1ns-1t + c2 + -3e-1s-1x-1 = 0

The solution to this equation could not be determined.

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