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Simplifying cos4(2x) + -1cos2(4x) = 0 Remove parenthesis around (2x) cos4 * 2x + -1cos2(4x) = 0 Reorder the terms for easier multiplication: 2cos4 * x + -1cos2(4x) = 0 Multiply cos4 * x 2cos4x + -1cos2(4x) = 0 Remove parenthesis around (4x) 2cos4x + -1cos2 * 4x = 0 Reorder the terms for easier multiplication: 2cos4x + -1 * 4cos2 * x = 0 Multiply -1 * 4 2cos4x + -4cos2 * x = 0 Multiply cos2 * x 2cos4x + -4cos2x = 0 Reorder the terms: -4cos2x + 2cos4x = 0 Solving -4cos2x + 2cos4x = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '2cos2x'. 2cos2x(-2 + s2) = 0 Ignore the factor 2.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 '(-2 + s2)' equal to zero and attempt to solve: Simplifying -2 + s2 = 0 Solving -2 + s2 = 0 Move all terms containing c to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + s2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + s2 = 0 + 2 s2 = 0 + 2 Combine like terms: 0 + 2 = 2 s2 = 2 Add '-1s2' to each side of the equation. s2 + -1s2 = 2 + -1s2 Combine like terms: s2 + -1s2 = 0 0 = 2 + -1s2 Simplifying 0 = 2 + -1s2 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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