4a^2-a+14=10

Solution for 4a^2-a+14=10 equation:

Simplifying
4a2 + -1a + 14 = 10

Reorder the terms:
14 + -1a + 4a2 = 10

Solving
14 + -1a + 4a2 = 10

Solving for variable 'a'.

Reorder the terms:
14 + -10 + -1a + 4a2 = 10 + -10

Combine like terms: 14 + -10 = 4
4 + -1a + 4a2 = 10 + -10

Combine like terms: 10 + -10 = 0
4 + -1a + 4a2 = 0

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

Divide each side by '4'.
1 + -0.25a + a2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -0.25a + -1 + a2 = 0 + -1

Reorder the terms:
1 + -1 + -0.25a + a2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -0.25a + a2 = 0 + -1
-0.25a + a2 = 0 + -1

Combine like terms: 0 + -1 = -1
-0.25a + a2 = -1

The a term is -0.25a.  Take half its coefficient (-0.125).
Square it (0.015625) and add it to both sides.

Add '0.015625' to each side of the equation.
-0.25a + 0.015625 + a2 = -1 + 0.015625

Reorder the terms:
0.015625 + -0.25a + a2 = -1 + 0.015625

Combine like terms: -1 + 0.015625 = -0.984375
0.015625 + -0.25a + a2 = -0.984375

Factor a perfect square on the left side:
(a + -0.125)(a + -0.125) = -0.984375

Can't calculate square root of the right side.

The solution to this equation could not be determined.