7cos^3(x)+7cos(x)=0

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Solution for 7cos^3(x)+7cos(x)=0 equation:


Simplifying
7cos3(x) + 7cos(x) = 0

Multiply cos3 * x
7cos3x + 7cos(x) = 0

Multiply cos * x
7cos3x + 7cosx = 0

Reorder the terms:
7cosx + 7cos3x = 0

Solving
7cosx + 7cos3x = 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), '7cosx'.
7cosx(1 + s2) = 0

Ignore the factor 7.

Subproblem 1

Set the factor 'cosx' equal to zero and attempt to solve: Simplifying cosx = 0 Solving cosx = 0 Move all terms containing c to the left, all other terms to the right. Simplifying cosx = 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 + s2)' equal to zero and attempt to solve: Simplifying 1 + s2 = 0 Solving 1 + s2 = 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 + s2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + s2 = 0 + -1 s2 = 0 + -1 Combine like terms: 0 + -1 = -1 s2 = -1 Add '-1s2' to each side of the equation. s2 + -1s2 = -1 + -1s2 Combine like terms: s2 + -1s2 = 0 0 = -1 + -1s2 Simplifying 0 = -1 + -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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