a(a-2)-a=a(a+1)-8

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Solution for a(a-2)-a=a(a+1)-8 equation: 


Simplifying
a(a + -2) + -1a = a(a + 1) + -8

Reorder the terms:
a(-2 + a) + -1a = a(a + 1) + -8
(-2 * a + a * a) + -1a = a(a + 1) + -8
(-2a + a2) + -1a = a(a + 1) + -8

Reorder the terms:
-2a + -1a + a2 = a(a + 1) + -8

Combine like terms: -2a + -1a = -3a
-3a + a2 = a(a + 1) + -8

Reorder the terms:
-3a + a2 = a(1 + a) + -8
-3a + a2 = (1 * a + a * a) + -8
-3a + a2 = (1a + a2) + -8

Reorder the terms:
-3a + a2 = -8 + 1a + a2

Add '-1a2' to each side of the equation.
-3a + a2 + -1a2 = -8 + 1a + a2 + -1a2

Combine like terms: a2 + -1a2 = 0
-3a + 0 = -8 + 1a + a2 + -1a2
-3a = -8 + 1a + a2 + -1a2

Combine like terms: a2 + -1a2 = 0
-3a = -8 + 1a + 0
-3a = -8 + 1a

Solving
-3a = -8 + 1a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
-3a + -1a = -8 + 1a + -1a

Combine like terms: -3a + -1a = -4a
-4a = -8 + 1a + -1a

Combine like terms: 1a + -1a = 0
-4a = -8 + 0
-4a = -8

Divide each side by '-4'.
a = 2

Simplifying
a = 2

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