2a^2-5n-12=0

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Solution for 2a^2-5n-12=0 equation:


Simplifying
2a2 + -5n + -12 = 0

Reorder the terms:
-12 + 2a2 + -5n = 0

Solving
-12 + 2a2 + -5n = 0

Solving for variable 'a'.

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

Add '12' to each side of the equation.
-12 + 2a2 + 12 + -5n = 0 + 12

Reorder the terms:
-12 + 12 + 2a2 + -5n = 0 + 12

Combine like terms: -12 + 12 = 0
0 + 2a2 + -5n = 0 + 12
2a2 + -5n = 0 + 12

Combine like terms: 0 + 12 = 12
2a2 + -5n = 12

Add '5n' to each side of the equation.
2a2 + -5n + 5n = 12 + 5n

Combine like terms: -5n + 5n = 0
2a2 + 0 = 12 + 5n
2a2 = 12 + 5n

Divide each side by '2'.
a2 = 6 + 2.5n

Simplifying
a2 = 6 + 2.5n

Reorder the terms:
-6 + a2 + -2.5n = 6 + 2.5n + -6 + -2.5n

Reorder the terms:
-6 + a2 + -2.5n = 6 + -6 + 2.5n + -2.5n

Combine like terms: 6 + -6 = 0
-6 + a2 + -2.5n = 0 + 2.5n + -2.5n
-6 + a2 + -2.5n = 2.5n + -2.5n

Combine like terms: 2.5n + -2.5n = 0.0
-6 + a2 + -2.5n = 0.0

The solution to this equation could not be determined.

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