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Simplifying 8cos(0.5x) + -4x * sin(0.5x) = 0 Remove parenthesis around (0.5x) 8cos * 0.5x + -4x * sin(0.5x) = 0 Reorder the terms for easier multiplication: 8 * 0.5cos * x + -4x * sin(0.5x) = 0 Multiply 8 * 0.5 4cos * x + -4x * sin(0.5x) = 0 Multiply cos * x 4cosx + -4x * sin(0.5x) = 0 Remove parenthesis around (0.5x) 4cosx + -4x * ins * 0.5x = 0 Reorder the terms for easier multiplication: 4cosx + -4 * 0.5x * ins * x = 0 Multiply -4 * 0.5 4cosx + -2x * ins * x = 0 Multiply x * ins 4cosx + -2insx * x = 0 Multiply insx * x 4cosx + -2insx2 = 0 Solving 4cosx + -2insx2 = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '2insx2' to each side of the equation. 4cosx + -2insx2 + 2insx2 = 0 + 2insx2 Combine like terms: -2insx2 + 2insx2 = 0 4cosx + 0 = 0 + 2insx2 4cosx = 0 + 2insx2 Remove the zero: 4cosx = 2insx2 Divide each side by '4osx'. c = 0.5ino-1x Simplifying c = 0.5ino-1x
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