6a(a+3)=2a(3a+5)+16

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Solution for 6a(a+3)=2a(3a+5)+16 equation: 


Simplifying
6a(a + 3) = 2a(3a + 5) + 16

Reorder the terms:
6a(3 + a) = 2a(3a + 5) + 16
(3 * 6a + a * 6a) = 2a(3a + 5) + 16
(18a + 6a2) = 2a(3a + 5) + 16

Reorder the terms:
18a + 6a2 = 2a(5 + 3a) + 16
18a + 6a2 = (5 * 2a + 3a * 2a) + 16
18a + 6a2 = (10a + 6a2) + 16

Reorder the terms:
18a + 6a2 = 16 + 10a + 6a2

Add '-6a2' to each side of the equation.
18a + 6a2 + -6a2 = 16 + 10a + 6a2 + -6a2

Combine like terms: 6a2 + -6a2 = 0
18a + 0 = 16 + 10a + 6a2 + -6a2
18a = 16 + 10a + 6a2 + -6a2

Combine like terms: 6a2 + -6a2 = 0
18a = 16 + 10a + 0
18a = 16 + 10a

Solving
18a = 16 + 10a

Solving for variable 'a'.

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

Add '-10a' to each side of the equation.
18a + -10a = 16 + 10a + -10a

Combine like terms: 18a + -10a = 8a
8a = 16 + 10a + -10a

Combine like terms: 10a + -10a = 0
8a = 16 + 0
8a = 16

Divide each side by '8'.
a = 2

Simplifying
a = 2

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