-2a^2+6a=5

Solution for -2a^2+6a=5 equation:

Simplifying
-2a2 + 6a = 5

Reorder the terms:
6a + -2a2 = 5

Solving
6a + -2a2 = 5

Solving for variable 'a'.

Reorder the terms:
-5 + 6a + -2a2 = 5 + -5

Combine like terms: 5 + -5 = 0
-5 + 6a + -2a2 = 0

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

Divide each side by '-2'.
2.5 + -3a + a2 = 0

Move the constant term to the right:

Add '-2.5' to each side of the equation.
2.5 + -3a + -2.5 + a2 = 0 + -2.5

Reorder the terms:
2.5 + -2.5 + -3a + a2 = 0 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + -3a + a2 = 0 + -2.5
-3a + a2 = 0 + -2.5

Combine like terms: 0 + -2.5 = -2.5
-3a + a2 = -2.5

The a term is -3a.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3a + 2.25 + a2 = -2.5 + 2.25

Reorder the terms:
2.25 + -3a + a2 = -2.5 + 2.25

Combine like terms: -2.5 + 2.25 = -0.25
2.25 + -3a + a2 = -0.25

Factor a perfect square on the left side:
(a + -1.5)(a + -1.5) = -0.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.