32m^2+14n^2-12m^2+5n-3=0

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Solution for 32m^2+14n^2-12m^2+5n-3=0 equation: 


Simplifying
32m2 + 14n2 + -12m2 + 5n + -3 = 0

Reorder the terms:
-3 + 32m2 + -12m2 + 5n + 14n2 = 0

Combine like terms: 32m2 + -12m2 = 20m2
-3 + 20m2 + 5n + 14n2 = 0

Solving
-3 + 20m2 + 5n + 14n2 = 0

Solving for variable 'm'.

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

Add '3' to each side of the equation.
-3 + 20m2 + 5n + 3 + 14n2 = 0 + 3

Reorder the terms:
-3 + 3 + 20m2 + 5n + 14n2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 20m2 + 5n + 14n2 = 0 + 3
20m2 + 5n + 14n2 = 0 + 3

Combine like terms: 0 + 3 = 3
20m2 + 5n + 14n2 = 3

Add '-5n' to each side of the equation.
20m2 + 5n + -5n + 14n2 = 3 + -5n

Combine like terms: 5n + -5n = 0
20m2 + 0 + 14n2 = 3 + -5n
20m2 + 14n2 = 3 + -5n

Add '-14n2' to each side of the equation.
20m2 + 14n2 + -14n2 = 3 + -5n + -14n2

Combine like terms: 14n2 + -14n2 = 0
20m2 + 0 = 3 + -5n + -14n2
20m2 = 3 + -5n + -14n2

Divide each side by '20'.
m2 = 0.15 + -0.25n + -0.7n2

Simplifying
m2 = 0.15 + -0.25n + -0.7n2

Reorder the terms:
-0.15 + m2 + 0.25n + 0.7n2 = 0.15 + -0.25n + -0.7n2 + -0.15 + 0.25n + 0.7n2

Reorder the terms:
-0.15 + m2 + 0.25n + 0.7n2 = 0.15 + -0.15 + -0.25n + 0.25n + -0.7n2 + 0.7n2

Combine like terms: 0.15 + -0.15 = 0.00
-0.15 + m2 + 0.25n + 0.7n2 = 0.00 + -0.25n + 0.25n + -0.7n2 + 0.7n2
-0.15 + m2 + 0.25n + 0.7n2 = -0.25n + 0.25n + -0.7n2 + 0.7n2

Combine like terms: -0.25n + 0.25n = 0.00
-0.15 + m2 + 0.25n + 0.7n2 = 0.00 + -0.7n2 + 0.7n2
-0.15 + m2 + 0.25n + 0.7n2 = -0.7n2 + 0.7n2

Combine like terms: -0.7n2 + 0.7n2 = 0.0
-0.15 + m2 + 0.25n + 0.7n2 = 0.0

The solution to this equation could not be determined.

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