4a(a+3)+5=6a(3a+2)+4

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Solution for 4a(a+3)+5=6a(3a+2)+4 equation: 


Simplifying
4a(a + 3) + 5 = 6a(3a + 2) + 4

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

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

Reorder the terms:
5 + 12a + 4a2 = 6a(2 + 3a) + 4
5 + 12a + 4a2 = (2 * 6a + 3a * 6a) + 4
5 + 12a + 4a2 = (12a + 18a2) + 4

Reorder the terms:
5 + 12a + 4a2 = 4 + 12a + 18a2

Add '-12a' to each side of the equation.
5 + 12a + -12a + 4a2 = 4 + 12a + -12a + 18a2

Combine like terms: 12a + -12a = 0
5 + 0 + 4a2 = 4 + 12a + -12a + 18a2
5 + 4a2 = 4 + 12a + -12a + 18a2

Combine like terms: 12a + -12a = 0
5 + 4a2 = 4 + 0 + 18a2
5 + 4a2 = 4 + 18a2

Solving
5 + 4a2 = 4 + 18a2

Solving for variable 'a'.

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

Add '-18a2' to each side of the equation.
5 + 4a2 + -18a2 = 4 + 18a2 + -18a2

Combine like terms: 4a2 + -18a2 = -14a2
5 + -14a2 = 4 + 18a2 + -18a2

Combine like terms: 18a2 + -18a2 = 0
5 + -14a2 = 4 + 0
5 + -14a2 = 4

Add '-5' to each side of the equation.
5 + -5 + -14a2 = 4 + -5

Combine like terms: 5 + -5 = 0
0 + -14a2 = 4 + -5
-14a2 = 4 + -5

Combine like terms: 4 + -5 = -1
-14a2 = -1

Divide each side by '-14'.
a2 = 0.07142857143

Simplifying
a2 = 0.07142857143

Take the square root of each side:
a = {-0.267261242, 0.267261242}

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