2tan(x+10)+3=5

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Solution for 2tan(x+10)+3=5 equation:


Simplifying
2tan(x + 10) + 3 = 5

Reorder the terms:
2ant(10 + x) + 3 = 5
(10 * 2ant + x * 2ant) + 3 = 5
(20ant + 2antx) + 3 = 5

Reorder the terms:
3 + 20ant + 2antx = 5

Solving
3 + 20ant + 2antx = 5

Solving for variable 'a'.

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

Add '-3' to each side of the equation.
3 + 20ant + -3 + 2antx = 5 + -3

Reorder the terms:
3 + -3 + 20ant + 2antx = 5 + -3

Combine like terms: 3 + -3 = 0
0 + 20ant + 2antx = 5 + -3
20ant + 2antx = 5 + -3

Combine like terms: 5 + -3 = 2
20ant + 2antx = 2

Reorder the terms:
-2 + 20ant + 2antx = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + 20ant + 2antx = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + 10ant + antx) = 0

Ignore the factor 2.

Subproblem 1

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