4a^2-10a+6=-4

Solution for 4a^2-10a+6=-4 equation:

Simplifying
4a2 + -10a + 6 = -4

Reorder the terms:
6 + -10a + 4a2 = -4

Solving
6 + -10a + 4a2 = -4

Solving for variable 'a'.

Reorder the terms:
6 + 4 + -10a + 4a2 = -4 + 4

Combine like terms: 6 + 4 = 10
10 + -10a + 4a2 = -4 + 4

Combine like terms: -4 + 4 = 0
10 + -10a + 4a2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(5 + -5a + 2a2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(5 + -5a + 2a2)' equal to zero and attempt to solve:

Simplifying
5 + -5a + 2a2 = 0

Solving
5 + -5a + 2a2 = 0

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

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

Move the constant term to the right:

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

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

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

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

The a term is -2.5a.  Take half its coefficient (-1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
-2.5a + 1.5625 + a2 = -2.5 + 1.5625

Reorder the terms:
1.5625 + -2.5a + a2 = -2.5 + 1.5625

Combine like terms: -2.5 + 1.5625 = -0.9375
1.5625 + -2.5a + a2 = -0.9375

Factor a perfect square on the left side:
(a + -1.25)(a + -1.25) = -0.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.