a^2x+(a-6)=(a+6)

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Solution for a^2x+(a-6)=(a+6) equation:


Simplifying
a2x + (a + -6) = (a + 6)

Reorder the terms:
a2x + (-6 + a) = (a + 6)

Remove parenthesis around (-6 + a)
a2x + -6 + a = (a + 6)

Reorder the terms:
-6 + a + a2x = (a + 6)

Reorder the terms:
-6 + a + a2x = (6 + a)

Remove parenthesis around (6 + a)
-6 + a + a2x = 6 + a

Add '-1a' to each side of the equation.
-6 + a + -1a + a2x = 6 + a + -1a

Combine like terms: a + -1a = 0
-6 + 0 + a2x = 6 + a + -1a
-6 + a2x = 6 + a + -1a

Combine like terms: a + -1a = 0
-6 + a2x = 6 + 0
-6 + a2x = 6

Solving
-6 + a2x = 6

Solving for variable 'a'.

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

Add '6' to each side of the equation.
-6 + 6 + a2x = 6 + 6

Combine like terms: -6 + 6 = 0
0 + a2x = 6 + 6
a2x = 6 + 6

Combine like terms: 6 + 6 = 12
a2x = 12

Divide each side by 'x'.
a2 = 12x-1

Simplifying
a2 = 12x-1

Combine like terms: 12x-1 + -12x-1 = 0
a2 + -12x-1 = 0

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(a2x + -12) = 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 + -12)' equal to zero and attempt to solve: Simplifying a2x + -12 = 0 Reorder the terms: -12 + a2x = 0 Solving -12 + a2x = 0 Move all terms containing a to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + a2x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + a2x = 0 + 12 a2x = 0 + 12 Combine like terms: 0 + 12 = 12 a2x = 12 Divide each side by 'x'. a2 = 12x-1 Simplifying a2 = 12x-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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