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

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

Simplifying
(a + 1)(a + -1) = 2a2

Reorder the terms:
(1 + a)(a + -1) = 2a2

Reorder the terms:
(1 + a)(-1 + a) = 2a2

Multiply (1 + a) * (-1 + a)
(1(-1 + a) + a(-1 + a)) = 2a2
((-1 * 1 + a * 1) + a(-1 + a)) = 2a2
((-1 + 1a) + a(-1 + a)) = 2a2
(-1 + 1a + (-1 * a + a * a)) = 2a2
(-1 + 1a + (-1a + a2)) = 2a2

Combine like terms: 1a + -1a = 0
(-1 + 0 + a2) = 2a2
(-1 + a2) = 2a2

Solving
-1 + a2 = 2a2

Solving for variable 'a'.

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

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

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

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

Add '1' to each side of the equation.
-1 + 1 + -1a2 = 0 + 1

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

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

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

Simplifying
a2 = -1

Reorder the terms:
1 + a2 = -1 + 1

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

The solution to this equation could not be determined.