1=10tan(4x+6)-1

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Solution for 1=10tan(4x+6)-1 equation:


Simplifying
1 = 10tan(4x + 6) + -1

Reorder the terms:
1 = 10ant(6 + 4x) + -1
1 = (6 * 10ant + 4x * 10ant) + -1
1 = (60ant + 40antx) + -1

Reorder the terms:
1 = -1 + 60ant + 40antx

Solving
1 = -1 + 60ant + 40antx

Solving for variable 'a'.

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

Add '-60ant' to each side of the equation.
1 + -60ant = -1 + 60ant + -60ant + 40antx

Combine like terms: 60ant + -60ant = 0
1 + -60ant = -1 + 0 + 40antx
1 + -60ant = -1 + 40antx

Add '-40antx' to each side of the equation.
1 + -60ant + -40antx = -1 + 40antx + -40antx

Combine like terms: 40antx + -40antx = 0
1 + -60ant + -40antx = -1 + 0
1 + -60ant + -40antx = -1

Add '-1' to each side of the equation.
1 + -60ant + -1 + -40antx = -1 + -1

Reorder the terms:
1 + -1 + -60ant + -40antx = -1 + -1

Combine like terms: 1 + -1 = 0
0 + -60ant + -40antx = -1 + -1
-60ant + -40antx = -1 + -1

Combine like terms: -1 + -1 = -2
-60ant + -40antx = -2

Reorder the terms:
2 + -60ant + -40antx = -2 + 2

Combine like terms: -2 + 2 = 0
2 + -60ant + -40antx = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + -30ant + -20antx) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(1 + -30ant + -20antx)' equal to zero and attempt to solve: Simplifying 1 + -30ant + -20antx = 0 Solving 1 + -30ant + -20antx = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -30ant + -1 + -20antx = 0 + -1 Reorder the terms: 1 + -1 + -30ant + -20antx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -30ant + -20antx = 0 + -1 -30ant + -20antx = 0 + -1 Combine like terms: 0 + -1 = -1 -30ant + -20antx = -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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