1+tan^2x+0.5tanx=1

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Solution for 1+tan^2x+0.5tanx=1 equation:


Simplifying
1 + tan2x + 0.5tanx = 1

Reorder the terms:
1 + 0.5antx + an2tx = 1

Add '-1' to each side of the equation.
1 + 0.5antx + -1 + an2tx = 1 + -1

Reorder the terms:
1 + -1 + 0.5antx + an2tx = 1 + -1

Combine like terms: 1 + -1 = 0
0 + 0.5antx + an2tx = 1 + -1
0.5antx + an2tx = 1 + -1

Combine like terms: 1 + -1 = 0
0.5antx + an2tx = 0

Solving
0.5antx + an2tx = 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(0.5 + n) = 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 '(0.5 + n)' equal to zero and attempt to solve: Simplifying 0.5 + n = 0 Solving 0.5 + n = 0 Move all terms containing a to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + n = 0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + n = 0 + -0.5 n = 0 + -0.5 Combine like terms: 0 + -0.5 = -0.5 n = -0.5 Add '-1n' to each side of the equation. n + -1n = -0.5 + -1n Combine like terms: n + -1n = 0 0 = -0.5 + -1n Simplifying 0 = -0.5 + -1n 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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