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Simplifying 4 + 2cos(2x) = 6cos(x) * values Remove parenthesis around (2x) 4 + 2cos * 2x = 6cos(x) * values Reorder the terms for easier multiplication: 4 + 2 * 2cos * x = 6cos(x) * values Multiply 2 * 2 4 + 4cos * x = 6cos(x) * values Multiply cos * x 4 + 4cosx = 6cos(x) * values Multiply cos * x 4 + 4cosx = 6cosx * aelsuv Multiply cosx * aelsuv 4 + 4cosx = 6acelos2uvx Solving 4 + 4cosx = 6acelos2uvx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6acelos2uvx' to each side of the equation. 4 + -6acelos2uvx + 4cosx = 6acelos2uvx + -6acelos2uvx Combine like terms: 6acelos2uvx + -6acelos2uvx = 0 4 + -6acelos2uvx + 4cosx = 0 Add '-4' to each side of the equation. 4 + -6acelos2uvx + -4 + 4cosx = 0 + -4 Reorder the terms: 4 + -4 + -6acelos2uvx + 4cosx = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -6acelos2uvx + 4cosx = 0 + -4 -6acelos2uvx + 4cosx = 0 + -4 Combine like terms: 0 + -4 = -4 -6acelos2uvx + 4cosx = -4 Reorder the terms: 4 + -6acelos2uvx + 4cosx = -4 + 4 Combine like terms: -4 + 4 = 0 4 + -6acelos2uvx + 4cosx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(2 + -3acelos2uvx + 2cosx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2 + -3acelos2uvx + 2cosx)' equal to zero and attempt to solve: Simplifying 2 + -3acelos2uvx + 2cosx = 0 Solving 2 + -3acelos2uvx + 2cosx = 0 Move all terms containing c to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -3acelos2uvx + -2 + 2cosx = 0 + -2 Reorder the terms: 2 + -2 + -3acelos2uvx + 2cosx = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3acelos2uvx + 2cosx = 0 + -2 -3acelos2uvx + 2cosx = 0 + -2 Combine like terms: 0 + -2 = -2 -3acelos2uvx + 2cosx = -2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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