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Simplifying (4cos2(x) + -2)(3cos2(x)) = 0 Multiply cos2 * x (4cos2x + -2)(3cos2(x)) = 0 Reorder the terms: (-2 + 4cos2x)(3cos2(x)) = 0 Multiply cos2 * x (-2 + 4cos2x)(3cos2x) = 0 Remove parenthesis around (3cos2x) (-2 + 4cos2x) * 3cos2x = 0 Reorder the terms for easier multiplication: 3cos2x(-2 + 4cos2x) = 0 (-2 * 3cos2x + 4cos2x * 3cos2x) = 0 (-6cos2x + 12c2o2s4x2) = 0 Solving -6cos2x + 12c2o2s4x2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '6cos2x'. 6cos2x(-1 + 2cos2x) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'cos2x' equal to zero and attempt to solve: Simplifying cos2x = 0 Solving cos2x = 0 Move all terms containing c to the left, all other terms to the right. Simplifying cos2x = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-1 + 2cos2x)' equal to zero and attempt to solve: Simplifying -1 + 2cos2x = 0 Solving -1 + 2cos2x = 0 Move all terms containing c to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2cos2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2cos2x = 0 + 1 2cos2x = 0 + 1 Combine like terms: 0 + 1 = 1 2cos2x = 1 Divide each side by '2os2x'. c = 0.5o-1s-2x-1 Simplifying c = 0.5o-1s-2x-1Solution
c = {0.5o-1s-2x-1}
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