x^2+x+10.3-x+x+1.4+14.5-10.3+x=30

Solution for x^2+x+10.3-x+x+1.4+14.5-10.3+x=30 equation:

Simplifying
x2 + x + 10.3 + -1x + x + 1.4 + 14.5 + -10.3 + x = 30

Reorder the terms:
10.3 + 1.4 + 14.5 + -10.3 + x + -1x + x + x + x2 = 30

Combine like terms: 10.3 + 1.4 = 11.7
11.7 + 14.5 + -10.3 + x + -1x + x + x + x2 = 30

Combine like terms: 11.7 + 14.5 = 26.2
26.2 + -10.3 + x + -1x + x + x + x2 = 30

Combine like terms: 26.2 + -10.3 = 15.9
15.9 + x + -1x + x + x + x2 = 30

Combine like terms: x + -1x = 0
15.9 + 0 + x + x + x2 = 30
15.9 + x + x + x2 = 30

Combine like terms: x + x = 2x
15.9 + 2x + x2 = 30

Solving
15.9 + 2x + x2 = 30

Solving for variable 'x'.

Reorder the terms:
15.9 + -30 + 2x + x2 = 30 + -30

Combine like terms: 15.9 + -30 = -14.1
-14.1 + 2x + x2 = 30 + -30

Combine like terms: 30 + -30 = 0
-14.1 + 2x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '14.1' to each side of the equation.
-14.1 + 2x + 14.1 + x2 = 0 + 14.1

Reorder the terms:
-14.1 + 14.1 + 2x + x2 = 0 + 14.1

Combine like terms: -14.1 + 14.1 = 0.0
0.0 + 2x + x2 = 0 + 14.1
2x + x2 = 0 + 14.1

Combine like terms: 0 + 14.1 = 14.1
2x + x2 = 14.1

The x term is 2x.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2x + 1 + x2 = 14.1 + 1

Reorder the terms:
1 + 2x + x2 = 14.1 + 1

Combine like terms: 14.1 + 1 = 15.1
1 + 2x + x2 = 15.1

Factor a perfect square on the left side:
(x + 1)(x + 1) = 15.1

Calculate the square root of the right side: 3.885871846

Break this problem into two subproblems by setting 
(x + 1) equal to 3.885871846 and -3.885871846.

Subproblem 1
x + 1 = 3.885871846

Simplifying
x + 1 = 3.885871846

Reorder the terms:
1 + x = 3.885871846

Solving
1 + x = 3.885871846

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + x = 3.885871846 + -1

Combine like terms: 1 + -1 = 0
0 + x = 3.885871846 + -1
x = 3.885871846 + -1

Combine like terms: 3.885871846 + -1 = 2.885871846
x = 2.885871846

Simplifying
x = 2.885871846

Subproblem 2
x + 1 = -3.885871846

Simplifying
x + 1 = -3.885871846

Reorder the terms:
1 + x = -3.885871846

Solving
1 + x = -3.885871846

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + x = -3.885871846 + -1

Combine like terms: 1 + -1 = 0
0 + x = -3.885871846 + -1
x = -3.885871846 + -1

Combine like terms: -3.885871846 + -1 = -4.885871846
x = -4.885871846

Simplifying
x = -4.885871846

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {2.885871846, -4.885871846}