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Simplifying 2sin2(x) + sin(2x) + cos(2x) = 0 Multiply in2s * x 2in2sx + sin(2x) + cos(2x) = 0 Remove parenthesis around (2x) 2in2sx + ins * 2x + cos(2x) = 0 Reorder the terms for easier multiplication: 2in2sx + 2ins * x + cos(2x) = 0 Multiply ins * x 2in2sx + 2insx + cos(2x) = 0 Remove parenthesis around (2x) 2in2sx + 2insx + cos * 2x = 0 Reorder the terms for easier multiplication: 2in2sx + 2insx + 2cos * x = 0 Multiply cos * x 2in2sx + 2insx + 2cosx = 0 Reorder the terms: 2cosx + 2insx + 2in2sx = 0 Solving 2cosx + 2insx + 2in2sx = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2insx' to each side of the equation. 2cosx + 2insx + -2insx + 2in2sx = 0 + -2insx Combine like terms: 2insx + -2insx = 0 2cosx + 0 + 2in2sx = 0 + -2insx 2cosx + 2in2sx = 0 + -2insx Remove the zero: 2cosx + 2in2sx = -2insx Add '-2in2sx' to each side of the equation. 2cosx + 2in2sx + -2in2sx = -2insx + -2in2sx Combine like terms: 2in2sx + -2in2sx = 0 2cosx + 0 = -2insx + -2in2sx 2cosx = -2insx + -2in2sx Divide each side by '2osx'. c = -1ino-1 + -1in2o-1 Simplifying c = -1ino-1 + -1in2o-1
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