7cos^2(x-1)=0

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Solution for 7cos^2(x-1)=0 equation:


Simplifying
7cos2(x + -1) = 0

Reorder the terms:
7cos2(-1 + x) = 0
(-1 * 7cos2 + x * 7cos2) = 0
(-7cos2 + 7cos2x) = 0

Solving
-7cos2 + 7cos2x = 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), '7cos2'.
7cos2(-1 + x) = 0

Ignore the factor 7.

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 + x)' equal to zero and attempt to solve: Simplifying -1 + x = 0 Solving -1 + x = 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 + x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x = 0 + 1 x = 0 + 1 Combine like terms: 0 + 1 = 1 x = 1 Add '-1x' to each side of the equation. x + -1x = 1 + -1x Combine like terms: x + -1x = 0 0 = 1 + -1x Simplifying 0 = 1 + -1x 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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