-10tanx=tan

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Solution for -10tanx=tan equation:


Simplifying
-10tanx = tan

Solving
-10antx = ant

Solving for variable 'a'.

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

Add '-1ant' to each side of the equation.
-1ant + -10antx = ant + -1ant

Combine like terms: ant + -1ant = 0
-1ant + -10antx = 0

Factor out the Greatest Common Factor (GCF), '-1ant'.
-1ant(1 + 10x) = 0

Ignore the factor -1.

Subproblem 1

Set the factor 'ant' equal to zero and attempt to solve: Simplifying ant = 0 Solving ant = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ant = 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 + 10x)' equal to zero and attempt to solve: Simplifying 1 + 10x = 0 Solving 1 + 10x = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 10x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 10x = 0 + -1 10x = 0 + -1 Combine like terms: 0 + -1 = -1 10x = -1 Add '-10x' to each side of the equation. 10x + -10x = -1 + -10x Combine like terms: 10x + -10x = 0 0 = -1 + -10x Simplifying 0 = -1 + -10x 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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