10a^2-3t-1=0

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Solution for 10a^2-3t-1=0 equation:


Simplifying
10a2 + -3t + -1 = 0

Reorder the terms:
-1 + 10a2 + -3t = 0

Solving
-1 + 10a2 + -3t = 0

Solving for variable 'a'.

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

Add '1' to each side of the equation.
-1 + 10a2 + 1 + -3t = 0 + 1

Reorder the terms:
-1 + 1 + 10a2 + -3t = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 10a2 + -3t = 0 + 1
10a2 + -3t = 0 + 1

Combine like terms: 0 + 1 = 1
10a2 + -3t = 1

Add '3t' to each side of the equation.
10a2 + -3t + 3t = 1 + 3t

Combine like terms: -3t + 3t = 0
10a2 + 0 = 1 + 3t
10a2 = 1 + 3t

Divide each side by '10'.
a2 = 0.1 + 0.3t

Simplifying
a2 = 0.1 + 0.3t

Reorder the terms:
-0.1 + a2 + -0.3t = 0.1 + 0.3t + -0.1 + -0.3t

Reorder the terms:
-0.1 + a2 + -0.3t = 0.1 + -0.1 + 0.3t + -0.3t

Combine like terms: 0.1 + -0.1 = 0.0
-0.1 + a2 + -0.3t = 0.0 + 0.3t + -0.3t
-0.1 + a2 + -0.3t = 0.3t + -0.3t

Combine like terms: 0.3t + -0.3t = 0.0
-0.1 + a2 + -0.3t = 0.0

The solution to this equation could not be determined.

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