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Simplifying (2cos2)(4x + -1) = 0 Remove parenthesis around (2cos2) 2cos2(4x + -1) = 0 Reorder the terms: 2cos2(-1 + 4x) = 0 (-1 * 2cos2 + 4x * 2cos2) = 0 (-2cos2 + 8cos2x) = 0 Solving -2cos2 + 8cos2x = 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), '2cos2'. 2cos2(-1 + 4x) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'cos2' equal to zero and attempt to solve: Simplifying cos2 = 0 Solving cos2 = 0 Move all terms containing c to the left, all other terms to the right. Simplifying cos2 = 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 + 4x)' equal to zero and attempt to solve: Simplifying -1 + 4x = 0 Solving -1 + 4x = 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 + 4x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 4x = 0 + 1 4x = 0 + 1 Combine like terms: 0 + 1 = 1 4x = 1 Add '-4x' to each side of the equation. 4x + -4x = 1 + -4x Combine like terms: 4x + -4x = 0 0 = 1 + -4x Simplifying 0 = 1 + -4x 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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