a(3a-2)+2a(a+4)=a(a+2)+4a(a-3)+48

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Solution for a(3a-2)+2a(a+4)=a(a+2)+4a(a-3)+48 equation: 


Simplifying
a(3a + -2) + 2a(a + 4) = a(a + 2) + 4a(a + -3) + 48

Reorder the terms:
a(-2 + 3a) + 2a(a + 4) = a(a + 2) + 4a(a + -3) + 48
(-2 * a + 3a * a) + 2a(a + 4) = a(a + 2) + 4a(a + -3) + 48
(-2a + 3a2) + 2a(a + 4) = a(a + 2) + 4a(a + -3) + 48

Reorder the terms:
-2a + 3a2 + 2a(4 + a) = a(a + 2) + 4a(a + -3) + 48
-2a + 3a2 + (4 * 2a + a * 2a) = a(a + 2) + 4a(a + -3) + 48
-2a + 3a2 + (8a + 2a2) = a(a + 2) + 4a(a + -3) + 48

Reorder the terms:
-2a + 8a + 3a2 + 2a2 = a(a + 2) + 4a(a + -3) + 48

Combine like terms: -2a + 8a = 6a
6a + 3a2 + 2a2 = a(a + 2) + 4a(a + -3) + 48

Combine like terms: 3a2 + 2a2 = 5a2
6a + 5a2 = a(a + 2) + 4a(a + -3) + 48

Reorder the terms:
6a + 5a2 = a(2 + a) + 4a(a + -3) + 48
6a + 5a2 = (2 * a + a * a) + 4a(a + -3) + 48
6a + 5a2 = (2a + a2) + 4a(a + -3) + 48

Reorder the terms:
6a + 5a2 = 2a + a2 + 4a(-3 + a) + 48
6a + 5a2 = 2a + a2 + (-3 * 4a + a * 4a) + 48
6a + 5a2 = 2a + a2 + (-12a + 4a2) + 48

Reorder the terms:
6a + 5a2 = 48 + 2a + -12a + a2 + 4a2

Combine like terms: 2a + -12a = -10a
6a + 5a2 = 48 + -10a + a2 + 4a2

Combine like terms: a2 + 4a2 = 5a2
6a + 5a2 = 48 + -10a + 5a2

Add '-5a2' to each side of the equation.
6a + 5a2 + -5a2 = 48 + -10a + 5a2 + -5a2

Combine like terms: 5a2 + -5a2 = 0
6a + 0 = 48 + -10a + 5a2 + -5a2
6a = 48 + -10a + 5a2 + -5a2

Combine like terms: 5a2 + -5a2 = 0
6a = 48 + -10a + 0
6a = 48 + -10a

Solving
6a = 48 + -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.
6a + 10a = 48 + -10a + 10a

Combine like terms: 6a + 10a = 16a
16a = 48 + -10a + 10a

Combine like terms: -10a + 10a = 0
16a = 48 + 0
16a = 48

Divide each side by '16'.
a = 3

Simplifying
a = 3

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