a^2x+(a-1)=(a+1)

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Solution for a^2x+(a-1)=(a+1) equation:


Simplifying
a2x + (a + -1) = (a + 1)

Reorder the terms:
a2x + (-1 + a) = (a + 1)

Remove parenthesis around (-1 + a)
a2x + -1 + a = (a + 1)

Reorder the terms:
-1 + a + a2x = (a + 1)

Reorder the terms:
-1 + a + a2x = (1 + a)

Remove parenthesis around (1 + a)
-1 + a + a2x = 1 + a

Add '-1a' to each side of the equation.
-1 + a + -1a + a2x = 1 + a + -1a

Combine like terms: a + -1a = 0
-1 + 0 + a2x = 1 + a + -1a
-1 + a2x = 1 + a + -1a

Combine like terms: a + -1a = 0
-1 + a2x = 1 + 0
-1 + a2x = 1

Solving
-1 + a2x = 1

Solving for variable 'a'.

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

Add '1' to each side of the equation.
-1 + 1 + a2x = 1 + 1

Combine like terms: -1 + 1 = 0
0 + a2x = 1 + 1
a2x = 1 + 1

Combine like terms: 1 + 1 = 2
a2x = 2

Divide each side by 'x'.
a2 = 2x-1

Simplifying
a2 = 2x-1

Combine like terms: 2x-1 + -2x-1 = 0
a2 + -2x-1 = 0

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(a2x + -2) = 0

Subproblem 1

Set the factor 'x-1' equal to zero and attempt to solve: Simplifying x-1 = 0 Solving x-1 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1x-1' to each side of the equation. x-1 + -1x-1 = 0 + -1x-1 Remove the zero: 0 = -1x-1 Simplifying 0 = -1x-1 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 '(a2x + -2)' equal to zero and attempt to solve: Simplifying a2x + -2 = 0 Reorder the terms: -2 + a2x = 0 Solving -2 + a2x = 0 Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + a2x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + a2x = 0 + 2 a2x = 0 + 2 Combine like terms: 0 + 2 = 2 a2x = 2 Divide each side by 'x'. a2 = 2x-1 Simplifying a2 = 2x-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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