x(1.44+x)=350

Solution for x(1.44+x)=350 equation:

Simplifying
x(1.44 + x) = 350
(1.44 * x + x * x) = 350
(1.44x + x2) = 350

Solving
1.44x + x2 = 350

Solving for variable 'x'.

Reorder the terms:
-350 + 1.44x + x2 = 350 + -350

Combine like terms: 350 + -350 = 0
-350 + 1.44x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '350' to each side of the equation.
-350 + 1.44x + 350 + x2 = 0 + 350

Reorder the terms:
-350 + 350 + 1.44x + x2 = 0 + 350

Combine like terms: -350 + 350 = 0
0 + 1.44x + x2 = 0 + 350
1.44x + x2 = 0 + 350

Combine like terms: 0 + 350 = 350
1.44x + x2 = 350

The x term is 1.44x.  Take half its coefficient (0.72).
Square it (0.5184) and add it to both sides.

Add '0.5184' to each side of the equation.
1.44x + 0.5184 + x2 = 350 + 0.5184

Reorder the terms:
0.5184 + 1.44x + x2 = 350 + 0.5184

Combine like terms: 350 + 0.5184 = 350.5184
0.5184 + 1.44x + x2 = 350.5184

Factor a perfect square on the left side:
(x + 0.72)(x + 0.72) = 350.5184

Calculate the square root of the right side: 18.72213663

Break this problem into two subproblems by setting 
(x + 0.72) equal to 18.72213663 and -18.72213663.

Subproblem 1
x + 0.72 = 18.72213663

Simplifying
x + 0.72 = 18.72213663

Reorder the terms:
0.72 + x = 18.72213663

Solving
0.72 + x = 18.72213663

Solving for variable 'x'.

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

Add '-0.72' to each side of the equation.
0.72 + -0.72 + x = 18.72213663 + -0.72

Combine like terms: 0.72 + -0.72 = 0.00
0.00 + x = 18.72213663 + -0.72
x = 18.72213663 + -0.72

Combine like terms: 18.72213663 + -0.72 = 18.00213663
x = 18.00213663

Simplifying
x = 18.00213663

Subproblem 2
x + 0.72 = -18.72213663

Simplifying
x + 0.72 = -18.72213663

Reorder the terms:
0.72 + x = -18.72213663

Solving
0.72 + x = -18.72213663

Solving for variable 'x'.

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

Add '-0.72' to each side of the equation.
0.72 + -0.72 + x = -18.72213663 + -0.72

Combine like terms: 0.72 + -0.72 = 0.00
0.00 + x = -18.72213663 + -0.72
x = -18.72213663 + -0.72

Combine like terms: -18.72213663 + -0.72 = -19.44213663
x = -19.44213663

Simplifying
x = -19.44213663

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {18.00213663, -19.44213663}