2cos(x)q^2-8cos(x)-10=0

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Solution for 2cos(x)q^2-8cos(x)-10=0 equation:


Simplifying
2cos(x) * q2 + -8cos(x) + -10 = 0

Multiply cos * x
2cosx * q2 + -8cos(x) + -10 = 0

Multiply cosx * q2
2coq2sx + -8cos(x) + -10 = 0

Multiply cos * x
2coq2sx + -8cosx + -10 = 0

Reorder the terms:
-10 + 2coq2sx + -8cosx = 0

Solving
-10 + 2coq2sx + -8cosx = 0

Solving for variable 'c'.

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

Add '10' to each side of the equation.
-10 + 2coq2sx + 10 + -8cosx = 0 + 10

Reorder the terms:
-10 + 10 + 2coq2sx + -8cosx = 0 + 10

Combine like terms: -10 + 10 = 0
0 + 2coq2sx + -8cosx = 0 + 10
2coq2sx + -8cosx = 0 + 10

Combine like terms: 0 + 10 = 10
2coq2sx + -8cosx = 10

Reorder the terms:
-10 + 2coq2sx + -8cosx = 10 + -10

Combine like terms: 10 + -10 = 0
-10 + 2coq2sx + -8cosx = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-5 + coq2sx + -4cosx) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-5 + coq2sx + -4cosx)' equal to zero and attempt to solve: Simplifying -5 + coq2sx + -4cosx = 0 Solving -5 + coq2sx + -4cosx = 0 Move all terms containing c to the left, all other terms to the right. Add '5' to each side of the equation. -5 + coq2sx + 5 + -4cosx = 0 + 5 Reorder the terms: -5 + 5 + coq2sx + -4cosx = 0 + 5 Combine like terms: -5 + 5 = 0 0 + coq2sx + -4cosx = 0 + 5 coq2sx + -4cosx = 0 + 5 Combine like terms: 0 + 5 = 5 coq2sx + -4cosx = 5 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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