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Simplifying 2cos4(x) + -5sin2(x) + 2sin4(x) = 0 Multiply cos4 * x 2cos4x + -5sin2(x) + 2sin4(x) = 0 Multiply in2s * x 2cos4x + -5in2sx + 2sin4(x) = 0 Multiply in4s * x 2cos4x + -5in2sx + 2in4sx = 0 Solving 2cos4x + -5in2sx + 2in4sx = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '5in2sx' to each side of the equation. 2cos4x + -5in2sx + 5in2sx + 2in4sx = 0 + 5in2sx Combine like terms: -5in2sx + 5in2sx = 0 2cos4x + 0 + 2in4sx = 0 + 5in2sx 2cos4x + 2in4sx = 0 + 5in2sx Remove the zero: 2cos4x + 2in4sx = 5in2sx Add '-2in4sx' to each side of the equation. 2cos4x + 2in4sx + -2in4sx = 5in2sx + -2in4sx Combine like terms: 2in4sx + -2in4sx = 0 2cos4x + 0 = 5in2sx + -2in4sx 2cos4x = 5in2sx + -2in4sx Divide each side by '2os4x'. c = 2.5in2o-1s-3 + -1in4o-1s-3 Simplifying c = 2.5in2o-1s-3 + -1in4o-1s-3
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