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Simplifying 2cos2(10x) + -6cos2(5x) + 1 = 0 Remove parenthesis around (10x) 2cos2 * 10x + -6cos2(5x) + 1 = 0 Reorder the terms for easier multiplication: 2 * 10cos2 * x + -6cos2(5x) + 1 = 0 Multiply 2 * 10 20cos2 * x + -6cos2(5x) + 1 = 0 Multiply cos2 * x 20cos2x + -6cos2(5x) + 1 = 0 Remove parenthesis around (5x) 20cos2x + -6cos2 * 5x + 1 = 0 Reorder the terms for easier multiplication: 20cos2x + -6 * 5cos2 * x + 1 = 0 Multiply -6 * 5 20cos2x + -30cos2 * x + 1 = 0 Multiply cos2 * x 20cos2x + -30cos2x + 1 = 0 Reorder the terms: 1 + 20cos2x + -30cos2x = 0 Combine like terms: 20cos2x + -30cos2x = -10cos2x 1 + -10cos2x = 0 Solving 1 + -10cos2x = 0 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 + -10cos2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -10cos2x = 0 + -1 -10cos2x = 0 + -1 Combine like terms: 0 + -1 = -1 -10cos2x = -1 Divide each side by '-10os2x'. c = 0.1o-1s-2x-1 Simplifying c = 0.1o-1s-2x-1
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