x-x*tanx^2=-6tanx

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Solution for x-x*tanx^2=-6tanx equation:


Simplifying
x + -1x * tanx2 = -6tanx

Multiply x * antx2
x + -1antx3 = -6tanx

Reorder the terms:
-1antx3 + x = -6tanx

Solving
-1antx3 + x = -6antx

Solving for variable 'a'.

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

Add '6antx' to each side of the equation.
-1antx3 + 6antx + x = -6antx + 6antx

Reorder the terms:
6antx + -1antx3 + x = -6antx + 6antx

Combine like terms: -6antx + 6antx = 0
6antx + -1antx3 + x = 0

Add '-1x' to each side of the equation.
6antx + -1antx3 + x + -1x = 0 + -1x

Combine like terms: x + -1x = 0
6antx + -1antx3 + 0 = 0 + -1x
6antx + -1antx3 = 0 + -1x
Remove the zero:
6antx + -1antx3 = -1x

Combine like terms: -1x + x = 0
6antx + -1antx3 + x = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(6ant + -1antx2 + 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 a to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x = 0 + -1x Remove the zero: 0 = -1x Simplifying 0 = -1x 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 '(6ant + -1antx2 + 1)' equal to zero and attempt to solve: Simplifying 6ant + -1antx2 + 1 = 0 Reorder the terms: 1 + 6ant + -1antx2 = 0 Solving 1 + 6ant + -1antx2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 6ant + -1 + -1antx2 = 0 + -1 Reorder the terms: 1 + -1 + 6ant + -1antx2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 6ant + -1antx2 = 0 + -1 6ant + -1antx2 = 0 + -1 Combine like terms: 0 + -1 = -1 6ant + -1antx2 = -1 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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