5a^2-3b-2=0

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Solution for 5a^2-3b-2=0 equation:


Simplifying
5a2 + -3b + -2 = 0

Reorder the terms:
-2 + 5a2 + -3b = 0

Solving
-2 + 5a2 + -3b = 0

Solving for variable 'a'.

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

Add '2' to each side of the equation.
-2 + 5a2 + 2 + -3b = 0 + 2

Reorder the terms:
-2 + 2 + 5a2 + -3b = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 5a2 + -3b = 0 + 2
5a2 + -3b = 0 + 2

Combine like terms: 0 + 2 = 2
5a2 + -3b = 2

Add '3b' to each side of the equation.
5a2 + -3b + 3b = 2 + 3b

Combine like terms: -3b + 3b = 0
5a2 + 0 = 2 + 3b
5a2 = 2 + 3b

Divide each side by '5'.
a2 = 0.4 + 0.6b

Simplifying
a2 = 0.4 + 0.6b

Reorder the terms:
-0.4 + a2 + -0.6b = 0.4 + 0.6b + -0.4 + -0.6b

Reorder the terms:
-0.4 + a2 + -0.6b = 0.4 + -0.4 + 0.6b + -0.6b

Combine like terms: 0.4 + -0.4 = 0.0
-0.4 + a2 + -0.6b = 0.0 + 0.6b + -0.6b
-0.4 + a2 + -0.6b = 0.6b + -0.6b

Combine like terms: 0.6b + -0.6b = 0.0
-0.4 + a2 + -0.6b = 0.0

The solution to this equation could not be determined.

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