x^2+x+1.4=30

Solution for x^2+x+1.4=30 equation:

Simplifying
x2 + x + 1.4 = 30

Reorder the terms:
1.4 + x + x2 = 30

Solving
1.4 + x + x2 = 30

Solving for variable 'x'.

Reorder the terms:
1.4 + -30 + x + x2 = 30 + -30

Combine like terms: 1.4 + -30 = -28.6
-28.6 + x + x2 = 30 + -30

Combine like terms: 30 + -30 = 0
-28.6 + x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '28.6' to each side of the equation.
-28.6 + x + 28.6 + x2 = 0 + 28.6

Reorder the terms:
-28.6 + 28.6 + x + x2 = 0 + 28.6

Combine like terms: -28.6 + 28.6 = 0.0
0.0 + x + x2 = 0 + 28.6
x + x2 = 0 + 28.6

Combine like terms: 0 + 28.6 = 28.6
x + x2 = 28.6

The x term is x.  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.
x + 0.25 + x2 = 28.6 + 0.25

Reorder the terms:
0.25 + x + x2 = 28.6 + 0.25

Combine like terms: 28.6 + 0.25 = 28.85
0.25 + x + x2 = 28.85

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = 28.85

Calculate the square root of the right side: 5.371219601

Break this problem into two subproblems by setting 
(x + 0.5) equal to 5.371219601 and -5.371219601.

Subproblem 1
x + 0.5 = 5.371219601

Simplifying
x + 0.5 = 5.371219601

Reorder the terms:
0.5 + x = 5.371219601

Solving
0.5 + x = 5.371219601

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-0.5' to each side of the equation.
0.5 + -0.5 + x = 5.371219601 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + x = 5.371219601 + -0.5
x = 5.371219601 + -0.5

Combine like terms: 5.371219601 + -0.5 = 4.871219601
x = 4.871219601

Simplifying
x = 4.871219601

Subproblem 2
x + 0.5 = -5.371219601

Simplifying
x + 0.5 = -5.371219601

Reorder the terms:
0.5 + x = -5.371219601

Solving
0.5 + x = -5.371219601

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-0.5' to each side of the equation.
0.5 + -0.5 + x = -5.371219601 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + x = -5.371219601 + -0.5
x = -5.371219601 + -0.5

Combine like terms: -5.371219601 + -0.5 = -5.871219601
x = -5.871219601

Simplifying
x = -5.871219601

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {4.871219601, -5.871219601}