x*x+3.8*x-9.025=0

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Solution for x*x+3.8*x-9.025=0 equation: 


Simplifying
x * x + 3.8x + -9.025 = 0

Multiply x * x
x2 + 3.8x + -9.025 = 0

Reorder the terms:
-9.025 + 3.8x + x2 = 0

Solving
-9.025 + 3.8x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '9.025' to each side of the equation.
-9.025 + 3.8x + 9.025 + x2 = 0 + 9.025

Reorder the terms:
-9.025 + 9.025 + 3.8x + x2 = 0 + 9.025

Combine like terms: -9.025 + 9.025 = 0.000
0.000 + 3.8x + x2 = 0 + 9.025
3.8x + x2 = 0 + 9.025

Combine like terms: 0 + 9.025 = 9.025
3.8x + x2 = 9.025

The x term is 3.8x.  Take half its coefficient (1.9).
Square it (3.61) and add it to both sides.

Add '3.61' to each side of the equation.
3.8x + 3.61 + x2 = 9.025 + 3.61

Reorder the terms:
3.61 + 3.8x + x2 = 9.025 + 3.61

Combine like terms: 9.025 + 3.61 = 12.635
3.61 + 3.8x + x2 = 12.635

Factor a perfect square on the left side:
(x + 1.9)(x + 1.9) = 12.635

Calculate the square root of the right side: 3.554574517

Break this problem into two subproblems by setting 
(x + 1.9) equal to 3.554574517 and -3.554574517.


Subproblem 1
x + 1.9 = 3.554574517

Simplifying
x + 1.9 = 3.554574517

Reorder the terms:
1.9 + x = 3.554574517

Solving
1.9 + x = 3.554574517

Solving for variable 'x'.

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

Add '-1.9' to each side of the equation.
1.9 + -1.9 + x = 3.554574517 + -1.9

Combine like terms: 1.9 + -1.9 = 0.0
0.0 + x = 3.554574517 + -1.9
x = 3.554574517 + -1.9

Combine like terms: 3.554574517 + -1.9 = 1.654574517
x = 1.654574517

Simplifying
x = 1.654574517


Subproblem 2
x + 1.9 = -3.554574517

Simplifying
x + 1.9 = -3.554574517

Reorder the terms:
1.9 + x = -3.554574517

Solving
1.9 + x = -3.554574517

Solving for variable 'x'.

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

Add '-1.9' to each side of the equation.
1.9 + -1.9 + x = -3.554574517 + -1.9

Combine like terms: 1.9 + -1.9 = 0.0
0.0 + x = -3.554574517 + -1.9
x = -3.554574517 + -1.9

Combine like terms: -3.554574517 + -1.9 = -5.454574517
x = -5.454574517

Simplifying
x = -5.454574517


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.654574517, -5.454574517}

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