3a^2-8-5a^2+2a+7=

Solution for 3a^2-8-5a^2+2a+7= equation:

Simplifying
3a2 + -8 + -5a2 + 2a + 7 = 0

Reorder the terms:
-8 + 7 + 2a + 3a2 + -5a2 = 0

Combine like terms: -8 + 7 = -1
-1 + 2a + 3a2 + -5a2 = 0

Combine like terms: 3a2 + -5a2 = -2a2
-1 + 2a + -2a2 = 0

Solving
-1 + 2a + -2a2 = 0

Solving for variable 'a'.

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

Divide each side by '-2'.
0.5 + -1a + a2 = 0

Move the constant term to the right:

Add '-0.5' to each side of the equation.
0.5 + -1a + -0.5 + a2 = 0 + -0.5

Reorder the terms:
0.5 + -0.5 + -1a + a2 = 0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -1a + a2 = 0 + -0.5
-1a + a2 = 0 + -0.5

Combine like terms: 0 + -0.5 = -0.5
-1a + a2 = -0.5

The a term is -1a.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1a + 0.25 + a2 = -0.5 + 0.25

Reorder the terms:
0.25 + -1a + a2 = -0.5 + 0.25

Combine like terms: -0.5 + 0.25 = -0.25
0.25 + -1a + a2 = -0.25

Factor a perfect square on the left side:
(a + -0.5)(a + -0.5) = -0.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.