4+4x-9.3x^2=0

Solution for 4+4x-9.3x^2=0 equation:

Simplifying
4 + 4x + -9.3x2 = 0

Solving
4 + 4x + -9.3x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-9.3 the coefficient of the squared term: 

Divide each side by '-9.3'.
-0.4301075269 + -0.4301075269x + x2 = 0

Move the constant term to the right:

Add '0.4301075269' to each side of the equation.
-0.4301075269 + -0.4301075269x + 0.4301075269 + x2 = 0 + 0.4301075269

Reorder the terms:
-0.4301075269 + 0.4301075269 + -0.4301075269x + x2 = 0 + 0.4301075269

Combine like terms: -0.4301075269 + 0.4301075269 = 0.0000000000
0.0000000000 + -0.4301075269x + x2 = 0 + 0.4301075269
-0.4301075269x + x2 = 0 + 0.4301075269

Combine like terms: 0 + 0.4301075269 = 0.4301075269
-0.4301075269x + x2 = 0.4301075269

The x term is -0.4301075269x.  Take half its coefficient (-0.2150537635).
Square it (0.04624812120) and add it to both sides.

Add '0.04624812120' to each side of the equation.
-0.4301075269x + 0.04624812120 + x2 = 0.4301075269 + 0.04624812120

Reorder the terms:
0.04624812120 + -0.4301075269x + x2 = 0.4301075269 + 0.04624812120

Combine like terms: 0.4301075269 + 0.04624812120 = 0.4763556481
0.04624812120 + -0.4301075269x + x2 = 0.4763556481

Factor a perfect square on the left side:
(x + -0.2150537635)(x + -0.2150537635) = 0.4763556481

Calculate the square root of the right side: 0.690185227

Break this problem into two subproblems by setting 
(x + -0.2150537635) equal to 0.690185227 and -0.690185227.

Subproblem 1
x + -0.2150537635 = 0.690185227

Simplifying
x + -0.2150537635 = 0.690185227

Reorder the terms:
-0.2150537635 + x = 0.690185227

Solving
-0.2150537635 + x = 0.690185227

Solving for variable 'x'.

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

Add '0.2150537635' to each side of the equation.
-0.2150537635 + 0.2150537635 + x = 0.690185227 + 0.2150537635

Combine like terms: -0.2150537635 + 0.2150537635 = 0.0000000000
0.0000000000 + x = 0.690185227 + 0.2150537635
x = 0.690185227 + 0.2150537635

Combine like terms: 0.690185227 + 0.2150537635 = 0.9052389905
x = 0.9052389905

Simplifying
x = 0.9052389905

Subproblem 2
x + -0.2150537635 = -0.690185227

Simplifying
x + -0.2150537635 = -0.690185227

Reorder the terms:
-0.2150537635 + x = -0.690185227

Solving
-0.2150537635 + x = -0.690185227

Solving for variable 'x'.

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

Add '0.2150537635' to each side of the equation.
-0.2150537635 + 0.2150537635 + x = -0.690185227 + 0.2150537635

Combine like terms: -0.2150537635 + 0.2150537635 = 0.0000000000
0.0000000000 + x = -0.690185227 + 0.2150537635
x = -0.690185227 + 0.2150537635

Combine like terms: -0.690185227 + 0.2150537635 = -0.4751314635
x = -0.4751314635

Simplifying
x = -0.4751314635

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.9052389905, -0.4751314635}