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Simplifying 2sec2x + 1 = 5tanx Reorder the terms: 1 + 2c2esx = 5tanx Solving 1 + 2c2esx = 5antx 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 + 2c2esx = -1 + 5antx Combine like terms: 1 + -1 = 0 0 + 2c2esx = -1 + 5antx 2c2esx = -1 + 5antx Divide each side by '2esx'. c2 = -0.5e-1s-1x-1 + 2.5ae-1ns-1t Simplifying c2 = -0.5e-1s-1x-1 + 2.5ae-1ns-1t Reorder the terms: c2 = 2.5ae-1ns-1t + -0.5e-1s-1x-1 Reorder the terms: -2.5ae-1ns-1t + c2 + 0.5e-1s-1x-1 = 2.5ae-1ns-1t + -0.5e-1s-1x-1 + -2.5ae-1ns-1t + 0.5e-1s-1x-1 Reorder the terms: -2.5ae-1ns-1t + c2 + 0.5e-1s-1x-1 = 2.5ae-1ns-1t + -2.5ae-1ns-1t + -0.5e-1s-1x-1 + 0.5e-1s-1x-1 Combine like terms: 2.5ae-1ns-1t + -2.5ae-1ns-1t = 0.0 -2.5ae-1ns-1t + c2 + 0.5e-1s-1x-1 = 0.0 + -0.5e-1s-1x-1 + 0.5e-1s-1x-1 -2.5ae-1ns-1t + c2 + 0.5e-1s-1x-1 = -0.5e-1s-1x-1 + 0.5e-1s-1x-1 Combine like terms: -0.5e-1s-1x-1 + 0.5e-1s-1x-1 = 0.0 -2.5ae-1ns-1t + c2 + 0.5e-1s-1x-1 = 0.0 The solution to this equation could not be determined.
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