6cos^2x+7cosx=0

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Solution for 6cos^2x+7cosx=0 equation:


Simplifying
6cos2x + 7cosx = 0

Reorder the terms:
7cosx + 6cos2x = 0

Solving
7cosx + 6cos2x = 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), 'cosx'.
cosx(7 + 6s) = 0

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 '(7 + 6s)' equal to zero and attempt to solve: Simplifying 7 + 6s = 0 Solving 7 + 6s = 0 Move all terms containing c to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 6s = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 6s = 0 + -7 6s = 0 + -7 Combine like terms: 0 + -7 = -7 6s = -7 Add '-6s' to each side of the equation. 6s + -6s = -7 + -6s Combine like terms: 6s + -6s = 0 0 = -7 + -6s Simplifying 0 = -7 + -6s 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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