-15+1a=2a^2

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Solution for -15+1a=2a^2 equation:


Simplifying
-15 + 1a = 2a2

Solving
-15 + 1a = 2a2

Solving for variable 'a'.

Combine like terms: 2a2 + -2a2 = 0
-15 + 1a + -2a2 = 0

Begin completing the square.  Divide all terms by
-2 the coefficient of the squared term: 

Divide each side by '-2'.
7.5 + -0.5a + a2 = 0

Move the constant term to the right:

Add '-7.5' to each side of the equation.
7.5 + -0.5a + -7.5 + a2 = 0 + -7.5

Reorder the terms:
7.5 + -7.5 + -0.5a + a2 = 0 + -7.5

Combine like terms: 7.5 + -7.5 = 0.0
0.0 + -0.5a + a2 = 0 + -7.5
-0.5a + a2 = 0 + -7.5

Combine like terms: 0 + -7.5 = -7.5
-0.5a + a2 = -7.5

The a term is -0.5a.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5a + 0.0625 + a2 = -7.5 + 0.0625

Reorder the terms:
0.0625 + -0.5a + a2 = -7.5 + 0.0625

Combine like terms: -7.5 + 0.0625 = -7.4375
0.0625 + -0.5a + a2 = -7.4375

Factor a perfect square on the left side:
(a + -0.25)(a + -0.25) = -7.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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