f(a)2a-1andg(a)=a^2

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Solution for f(a)2a-1andg(a)=a^2 equation: 


Simplifying
f(a) * 2a + -1andg(a) = a2

Reorder the terms for easier multiplication:
2f * a * a + -1andg(a) = a2

Multiply f * a
2af * a + -1andg(a) = a2

Multiply af * a
2a2f + -1andg(a) = a2

Multiply adgn * a
2a2f + -1a2dgn = a2

Reorder the terms:
-1a2dgn + 2a2f = a2

Solving
-1a2dgn + 2a2f = a2

Solving for variable 'a'.

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

Add '-1a2' to each side of the equation.
-1a2dgn + -1a2 + 2a2f = a2 + -1a2

Reorder the terms:
-1a2 + -1a2dgn + 2a2f = a2 + -1a2

Combine like terms: a2 + -1a2 = 0
-1a2 + -1a2dgn + 2a2f = 0

Factor out the Greatest Common Factor (GCF), 'a2'.
a2(-1 + -1dgn + 2f) = 0


Subproblem 1
Set the factor 'a2' equal to zero and attempt to solve:

Simplifying
a2 = 0

Solving
a2 = 0

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

Simplifying
a2 = 0

Take the square root of each side:
a = {0}

Subproblem 2
Set the factor '(-1 + -1dgn + 2f)' equal to zero and attempt to solve:

Simplifying
-1 + -1dgn + 2f = 0

Solving
-1 + -1dgn + 2f = 0

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

Add '1' to each side of the equation.
-1 + -1dgn + 1 + 2f = 0 + 1

Reorder the terms:
-1 + 1 + -1dgn + 2f = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -1dgn + 2f = 0 + 1
-1dgn + 2f = 0 + 1

Combine like terms: 0 + 1 = 1
-1dgn + 2f = 1

Add 'dgn' to each side of the equation.
-1dgn + dgn + 2f = 1 + dgn

Combine like terms: -1dgn + dgn = 0
0 + 2f = 1 + dgn
2f = 1 + dgn

Add '-2f' to each side of the equation.
2f + -2f = 1 + dgn + -2f

Combine like terms: 2f + -2f = 0
0 = 1 + dgn + -2f

Simplifying
0 = 1 + dgn + -2f

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
a = {0}

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