2a(5a-2)+3a(2a+6)+8=a(4a+1)+2a(6a-4)+50

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Solution for 2a(5a-2)+3a(2a+6)+8=a(4a+1)+2a(6a-4)+50 equation: 


Simplifying
2a(5a + -2) + 3a(2a + 6) + 8 = a(4a + 1) + 2a(6a + -4) + 50

Reorder the terms:
2a(-2 + 5a) + 3a(2a + 6) + 8 = a(4a + 1) + 2a(6a + -4) + 50
(-2 * 2a + 5a * 2a) + 3a(2a + 6) + 8 = a(4a + 1) + 2a(6a + -4) + 50
(-4a + 10a2) + 3a(2a + 6) + 8 = a(4a + 1) + 2a(6a + -4) + 50

Reorder the terms:
-4a + 10a2 + 3a(6 + 2a) + 8 = a(4a + 1) + 2a(6a + -4) + 50
-4a + 10a2 + (6 * 3a + 2a * 3a) + 8 = a(4a + 1) + 2a(6a + -4) + 50
-4a + 10a2 + (18a + 6a2) + 8 = a(4a + 1) + 2a(6a + -4) + 50

Reorder the terms:
8 + -4a + 18a + 10a2 + 6a2 = a(4a + 1) + 2a(6a + -4) + 50

Combine like terms: -4a + 18a = 14a
8 + 14a + 10a2 + 6a2 = a(4a + 1) + 2a(6a + -4) + 50

Combine like terms: 10a2 + 6a2 = 16a2
8 + 14a + 16a2 = a(4a + 1) + 2a(6a + -4) + 50

Reorder the terms:
8 + 14a + 16a2 = a(1 + 4a) + 2a(6a + -4) + 50
8 + 14a + 16a2 = (1 * a + 4a * a) + 2a(6a + -4) + 50
8 + 14a + 16a2 = (1a + 4a2) + 2a(6a + -4) + 50

Reorder the terms:
8 + 14a + 16a2 = 1a + 4a2 + 2a(-4 + 6a) + 50
8 + 14a + 16a2 = 1a + 4a2 + (-4 * 2a + 6a * 2a) + 50
8 + 14a + 16a2 = 1a + 4a2 + (-8a + 12a2) + 50

Reorder the terms:
8 + 14a + 16a2 = 50 + 1a + -8a + 4a2 + 12a2

Combine like terms: 1a + -8a = -7a
8 + 14a + 16a2 = 50 + -7a + 4a2 + 12a2

Combine like terms: 4a2 + 12a2 = 16a2
8 + 14a + 16a2 = 50 + -7a + 16a2

Add '-16a2' to each side of the equation.
8 + 14a + 16a2 + -16a2 = 50 + -7a + 16a2 + -16a2

Combine like terms: 16a2 + -16a2 = 0
8 + 14a + 0 = 50 + -7a + 16a2 + -16a2
8 + 14a = 50 + -7a + 16a2 + -16a2

Combine like terms: 16a2 + -16a2 = 0
8 + 14a = 50 + -7a + 0
8 + 14a = 50 + -7a

Solving
8 + 14a = 50 + -7a

Solving for variable 'a'.

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

Add '7a' to each side of the equation.
8 + 14a + 7a = 50 + -7a + 7a

Combine like terms: 14a + 7a = 21a
8 + 21a = 50 + -7a + 7a

Combine like terms: -7a + 7a = 0
8 + 21a = 50 + 0
8 + 21a = 50

Add '-8' to each side of the equation.
8 + -8 + 21a = 50 + -8

Combine like terms: 8 + -8 = 0
0 + 21a = 50 + -8
21a = 50 + -8

Combine like terms: 50 + -8 = 42
21a = 42

Divide each side by '21'.
a = 2

Simplifying
a = 2

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