2tan^2x+5tanx=0

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Solution for 2tan^2x+5tanx=0 equation:


Simplifying
2tan2x + 5tanx = 0

Reorder the terms:
5antx + 2an2tx = 0

Solving
5antx + 2an2tx = 0

Solving for variable 'a'.

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

Factor out the Greatest Common Factor (GCF), 'antx'.
antx(5 + 2n) = 0

Subproblem 1

Set the factor 'antx' equal to zero and attempt to solve: Simplifying antx = 0 Solving antx = 0 Move all terms containing a to the left, all other terms to the right. Simplifying antx = 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 '(5 + 2n)' equal to zero and attempt to solve: Simplifying 5 + 2n = 0 Solving 5 + 2n = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2n = 0 + -5 2n = 0 + -5 Combine like terms: 0 + -5 = -5 2n = -5 Add '-2n' to each side of the equation. 2n + -2n = -5 + -2n Combine like terms: 2n + -2n = 0 0 = -5 + -2n Simplifying 0 = -5 + -2n 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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