a(a+2)+3a=a(a-3)+8

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Solution for a(a+2)+3a=a(a-3)+8 equation: 


Simplifying
a(a + 2) + 3a = a(a + -3) + 8

Reorder the terms:
a(2 + a) + 3a = a(a + -3) + 8
(2 * a + a * a) + 3a = a(a + -3) + 8
(2a + a2) + 3a = a(a + -3) + 8

Reorder the terms:
2a + 3a + a2 = a(a + -3) + 8

Combine like terms: 2a + 3a = 5a
5a + a2 = a(a + -3) + 8

Reorder the terms:
5a + a2 = a(-3 + a) + 8
5a + a2 = (-3 * a + a * a) + 8
5a + a2 = (-3a + a2) + 8

Reorder the terms:
5a + a2 = 8 + -3a + a2

Add '-1a2' to each side of the equation.
5a + a2 + -1a2 = 8 + -3a + a2 + -1a2

Combine like terms: a2 + -1a2 = 0
5a + 0 = 8 + -3a + a2 + -1a2
5a = 8 + -3a + a2 + -1a2

Combine like terms: a2 + -1a2 = 0
5a = 8 + -3a + 0
5a = 8 + -3a

Solving
5a = 8 + -3a

Solving for variable 'a'.

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

Add '3a' to each side of the equation.
5a + 3a = 8 + -3a + 3a

Combine like terms: 5a + 3a = 8a
8a = 8 + -3a + 3a

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

Divide each side by '8'.
a = 1

Simplifying
a = 1

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