x^2+1.4x-2.75=0

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Solution for x^2+1.4x-2.75=0 equation: 


Simplifying
x2 + 1.4x + -2.75 = 0

Reorder the terms:
-2.75 + 1.4x + x2 = 0

Solving
-2.75 + 1.4x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '2.75' to each side of the equation.
-2.75 + 1.4x + 2.75 + x2 = 0 + 2.75

Reorder the terms:
-2.75 + 2.75 + 1.4x + x2 = 0 + 2.75

Combine like terms: -2.75 + 2.75 = 0.00
0.00 + 1.4x + x2 = 0 + 2.75
1.4x + x2 = 0 + 2.75

Combine like terms: 0 + 2.75 = 2.75
1.4x + x2 = 2.75

The x term is 1.4x.  Take half its coefficient (0.7).
Square it (0.49) and add it to both sides.

Add '0.49' to each side of the equation.
1.4x + 0.49 + x2 = 2.75 + 0.49

Reorder the terms:
0.49 + 1.4x + x2 = 2.75 + 0.49

Combine like terms: 2.75 + 0.49 = 3.24
0.49 + 1.4x + x2 = 3.24

Factor a perfect square on the left side:
(x + 0.7)(x + 0.7) = 3.24

Calculate the square root of the right side: 1.8

Break this problem into two subproblems by setting 
(x + 0.7) equal to 1.8 and -1.8.


Subproblem 1
x + 0.7 = 1.8

Simplifying
x + 0.7 = 1.8

Reorder the terms:
0.7 + x = 1.8

Solving
0.7 + x = 1.8

Solving for variable 'x'.

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

Add '-0.7' to each side of the equation.
0.7 + -0.7 + x = 1.8 + -0.7

Combine like terms: 0.7 + -0.7 = 0.0
0.0 + x = 1.8 + -0.7
x = 1.8 + -0.7

Combine like terms: 1.8 + -0.7 = 1.1
x = 1.1

Simplifying
x = 1.1


Subproblem 2
x + 0.7 = -1.8

Simplifying
x + 0.7 = -1.8

Reorder the terms:
0.7 + x = -1.8

Solving
0.7 + x = -1.8

Solving for variable 'x'.

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

Add '-0.7' to each side of the equation.
0.7 + -0.7 + x = -1.8 + -0.7

Combine like terms: 0.7 + -0.7 = 0.0
0.0 + x = -1.8 + -0.7
x = -1.8 + -0.7

Combine like terms: -1.8 + -0.7 = -2.5
x = -2.5

Simplifying
x = -2.5


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.1, -2.5}

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