A^2+4(3+a)a=5

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


Simplifying
A2 + 4(3 + a) * a = 5

Reorder the terms for easier multiplication:
A2 + 4a(3 + a) = 5
A2 + (3 * 4a + a * 4a) = 5
A2 + (12a + 4a2) = 5

Solving
A2 + 12a + 4a2 = 5

Solving for variable 'A'.

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

Add '-12a' to each side of the equation.
A2 + 12a + -12a + 4a2 = 5 + -12a

Combine like terms: 12a + -12a = 0
A2 + 0 + 4a2 = 5 + -12a
A2 + 4a2 = 5 + -12a

Add '-4a2' to each side of the equation.
A2 + 4a2 + -4a2 = 5 + -12a + -4a2

Combine like terms: 4a2 + -4a2 = 0
A2 + 0 = 5 + -12a + -4a2
A2 = 5 + -12a + -4a2

Simplifying
A2 = 5 + -12a + -4a2

Reorder the terms:
-5 + A2 + 12a + 4a2 = 5 + -12a + -4a2 + -5 + 12a + 4a2

Reorder the terms:
-5 + A2 + 12a + 4a2 = 5 + -5 + -12a + 12a + -4a2 + 4a2

Combine like terms: 5 + -5 = 0
-5 + A2 + 12a + 4a2 = 0 + -12a + 12a + -4a2 + 4a2
-5 + A2 + 12a + 4a2 = -12a + 12a + -4a2 + 4a2

Combine like terms: -12a + 12a = 0
-5 + A2 + 12a + 4a2 = 0 + -4a2 + 4a2
-5 + A2 + 12a + 4a2 = -4a2 + 4a2

Combine like terms: -4a2 + 4a2 = 0
-5 + A2 + 12a + 4a2 = 0

The solution to this equation could not be determined.

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