x=-sin^2(x)-2cos(x)

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Solution for x=-sin^2(x)-2cos(x) equation:


Simplifying
x = -1sin2(x) + -2cos(x)

Multiply in2s * x
x = -1in2sx + -2cos(x)

Multiply cos * x
x = -1in2sx + -2cosx

Reorder the terms:
x = -2cosx + -1in2sx

Solving
x = -2cosx + -1in2sx

Solving for variable 'x'.

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

Add '2cosx' to each side of the equation.
2cosx + x = -2cosx + 2cosx + -1in2sx

Combine like terms: -2cosx + 2cosx = 0
2cosx + x = 0 + -1in2sx
2cosx + x = -1in2sx

Add 'in2sx' to each side of the equation.
2cosx + in2sx + x = -1in2sx + in2sx

Combine like terms: -1in2sx + in2sx = 0
2cosx + in2sx + x = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(2cos + in2s + 1) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(2cos + in2s + 1)' equal to zero and attempt to solve: Simplifying 2cos + in2s + 1 = 0 Reorder the terms: 1 + 2cos + in2s = 0 Solving 1 + 2cos + in2s = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 2cos + -1 + in2s = 0 + -1 Reorder the terms: 1 + -1 + 2cos + in2s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2cos + in2s = 0 + -1 2cos + in2s = 0 + -1 Combine like terms: 0 + -1 = -1 2cos + in2s = -1 Add '-2cos' to each side of the equation. 2cos + -2cos + in2s = -1 + -2cos Combine like terms: 2cos + -2cos = 0 0 + in2s = -1 + -2cos in2s = -1 + -2cos Add '-1in2s' to each side of the equation. in2s + -1in2s = -1 + -2cos + -1in2s Combine like terms: in2s + -1in2s = 0 0 = -1 + -2cos + -1in2s Simplifying 0 = -1 + -2cos + -1in2s The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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