2cos^2(x)+2cos(x)cosx=0

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Solution for 2cos^2(x)+2cos(x)cosx=0 equation:


Simplifying
2cos2(x) + 2cos(x) * cosx = 0

Multiply cos2 * x
2cos2x + 2cos(x) * cosx = 0

Multiply cos * x
2cos2x + 2cosx * cosx = 0

Multiply cosx * cosx
2cos2x + 2c2o2s2x2 = 0

Solving
2cos2x + 2c2o2s2x2 = 0

Solving for variable 'c'.

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

Ignore the factor 2.

Subproblem 1

Set the factor 'cos2x' equal to zero and attempt to solve: Simplifying cos2x = 0 Solving cos2x = 0 Move all terms containing c to the left, all other terms to the right. Simplifying cos2x = 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 + cox)' equal to zero and attempt to solve: Simplifying 1 + cox = 0 Solving 1 + cox = 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 + cox = 0 + -1 Combine like terms: 1 + -1 = 0 0 + cox = 0 + -1 cox = 0 + -1 Combine like terms: 0 + -1 = -1 cox = -1 Divide each side by 'ox'. c = -1o-1x-1 Simplifying c = -1o-1x-1

Solution

c = {-1o-1x-1}

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