7cos^2x-14cosx+7=0

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Solution for 7cos^2x-14cosx+7=0 equation:


Simplifying
7cos2x + -14cosx + 7 = 0

Reorder the terms:
7 + -14cosx + 7cos2x = 0

Solving
7 + -14cosx + 7cos2x = 0

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -14cosx + -7 + 7cos2x = 0 + -7

Reorder the terms:
7 + -7 + -14cosx + 7cos2x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -14cosx + 7cos2x = 0 + -7
-14cosx + 7cos2x = 0 + -7

Combine like terms: 0 + -7 = -7
-14cosx + 7cos2x = -7

Reorder the terms:
7 + -14cosx + 7cos2x = -7 + 7

Combine like terms: -7 + 7 = 0
7 + -14cosx + 7cos2x = 0

Factor out the Greatest Common Factor (GCF), '7'.
7(1 + -2cosx + cos2x) = 0

Ignore the factor 7.

Subproblem 1

Set the factor '(1 + -2cosx + cos2x)' equal to zero and attempt to solve: Simplifying 1 + -2cosx + cos2x = 0 Solving 1 + -2cosx + cos2x = 0 Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -2cosx + -1 + cos2x = 0 + -1 Reorder the terms: 1 + -1 + -2cosx + cos2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2cosx + cos2x = 0 + -1 -2cosx + cos2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2cosx + cos2x = -1 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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