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Simplifying 16sin2(2t) + 9 + 16cos2(2t) = 0 Remove parenthesis around (2t) 16in2s * 2t + 9 + 16cos2(2t) = 0 Reorder the terms for easier multiplication: 16 * 2in2s * t + 9 + 16cos2(2t) = 0 Multiply 16 * 2 32in2s * t + 9 + 16cos2(2t) = 0 Multiply in2s * t 32in2st + 9 + 16cos2(2t) = 0 Remove parenthesis around (2t) 32in2st + 9 + 16cos2 * 2t = 0 Reorder the terms for easier multiplication: 32in2st + 9 + 16 * 2cos2 * t = 0 Multiply 16 * 2 32in2st + 9 + 32cos2 * t = 0 Multiply cos2 * t 32in2st + 9 + 32cos2t = 0 Reorder the terms: 9 + 32cos2t + 32in2st = 0 Solving 9 + 32cos2t + 32in2st = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 32cos2t + -9 + 32in2st = 0 + -9 Reorder the terms: 9 + -9 + 32cos2t + 32in2st = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 32cos2t + 32in2st = 0 + -9 32cos2t + 32in2st = 0 + -9 Combine like terms: 0 + -9 = -9 32cos2t + 32in2st = -9 Add '-32in2st' to each side of the equation. 32cos2t + 32in2st + -32in2st = -9 + -32in2st Combine like terms: 32in2st + -32in2st = 0 32cos2t + 0 = -9 + -32in2st 32cos2t = -9 + -32in2st Divide each side by '32os2t'. c = -0.28125o-1s-2t-1 + -1in2o-1s-1 Simplifying c = -0.28125o-1s-2t-1 + -1in2o-1s-1 Reorder the terms: c = -1in2o-1s-1 + -0.28125o-1s-2t-1
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