6(a+2)+2(5)=4b^2-a+27

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Solution for 6(a+2)+2(5)=4b^2-a+27 equation:


Simplifying
6(a + 2) + 2(5) = 4b2 + -1a + 27

Reorder the terms:
6(2 + a) + 2(5) = 4b2 + -1a + 27
(2 * 6 + a * 6) + 2(5) = 4b2 + -1a + 27
(12 + 6a) + 2(5) = 4b2 + -1a + 27

Multiply 2 * 5
12 + 6a + 10 = 4b2 + -1a + 27

Reorder the terms:
12 + 10 + 6a = 4b2 + -1a + 27

Combine like terms: 12 + 10 = 22
22 + 6a = 4b2 + -1a + 27

Reorder the terms:
22 + 6a = 27 + -1a + 4b2

Solving
22 + 6a = 27 + -1a + 4b2

Solving for variable 'a'.

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

Add 'a' to each side of the equation.
22 + 6a + a = 27 + -1a + a + 4b2

Combine like terms: 6a + a = 7a
22 + 7a = 27 + -1a + a + 4b2

Combine like terms: -1a + a = 0
22 + 7a = 27 + 0 + 4b2
22 + 7a = 27 + 4b2

Add '-22' to each side of the equation.
22 + -22 + 7a = 27 + -22 + 4b2

Combine like terms: 22 + -22 = 0
0 + 7a = 27 + -22 + 4b2
7a = 27 + -22 + 4b2

Combine like terms: 27 + -22 = 5
7a = 5 + 4b2

Divide each side by '7'.
a = 0.7142857143 + 0.5714285714b2

Simplifying
a = 0.7142857143 + 0.5714285714b2

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