5x^2+14=x+6

Solution for 5x^2+14=x+6 equation:

Simplifying
5x2 + 14 = x + 6

Reorder the terms:
14 + 5x2 = x + 6

Reorder the terms:
14 + 5x2 = 6 + x

Solving
14 + 5x2 = 6 + x

Solving for variable 'x'.

Reorder the terms:
14 + -6 + -1x + 5x2 = 6 + x + -6 + -1x

Combine like terms: 14 + -6 = 8
8 + -1x + 5x2 = 6 + x + -6 + -1x

Reorder the terms:
8 + -1x + 5x2 = 6 + -6 + x + -1x

Combine like terms: 6 + -6 = 0
8 + -1x + 5x2 = 0 + x + -1x
8 + -1x + 5x2 = x + -1x

Combine like terms: x + -1x = 0
8 + -1x + 5x2 = 0

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

Divide each side by '5'.
1.6 + -0.2x + x2 = 0

Move the constant term to the right:

Add '-1.6' to each side of the equation.
1.6 + -0.2x + -1.6 + x2 = 0 + -1.6

Reorder the terms:
1.6 + -1.6 + -0.2x + x2 = 0 + -1.6

Combine like terms: 1.6 + -1.6 = 0.0
0.0 + -0.2x + x2 = 0 + -1.6
-0.2x + x2 = 0 + -1.6

Combine like terms: 0 + -1.6 = -1.6
-0.2x + x2 = -1.6

The x term is -0.2x.  Take half its coefficient (-0.1).
Square it (0.01) and add it to both sides.

Add '0.01' to each side of the equation.
-0.2x + 0.01 + x2 = -1.6 + 0.01

Reorder the terms:
0.01 + -0.2x + x2 = -1.6 + 0.01

Combine like terms: -1.6 + 0.01 = -1.59
0.01 + -0.2x + x2 = -1.59

Factor a perfect square on the left side:
(x + -0.1)(x + -0.1) = -1.59

Can't calculate square root of the right side.

The solution to this equation could not be determined.