x=-tan(0.8*x)

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Solution for x=-tan(0.8*x) equation:


Simplifying
x = -1tan(0.8x)

Remove parenthesis around (0.8x)
x = -1ant * 0.8x

Reorder the terms for easier multiplication:
x = -1 * 0.8ant * x

Multiply -1 * 0.8
x = -0.8ant * x

Multiply ant * x
x = -0.8antx

Solving
x = -0.8antx

Solving for variable 'x'.

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

Add '0.8antx' to each side of the equation.
0.8antx + x = -0.8antx + 0.8antx

Combine like terms: -0.8antx + 0.8antx = 0.0
0.8antx + x = 0.0

Factor out the Greatest Common Factor (GCF), 'x'.
x(0.8ant + 1) = 0.0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(0.8ant + 1)' equal to zero and attempt to solve: Simplifying 0.8ant + 1 = 0 Reorder the terms: 1 + 0.8ant = 0 Solving 1 + 0.8ant = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 0.8ant = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 0.8ant = 0 + -1 0.8ant = 0 + -1 Combine like terms: 0 + -1 = -1 0.8ant = -1 Add '-0.8ant' to each side of the equation. 0.8ant + -0.8ant = -1 + -0.8ant Combine like terms: 0.8ant + -0.8ant = 0.0 0.0 = -1 + -0.8ant Simplifying 0.0 = -1 + -0.8ant The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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