0.7=8x-4x^2

Solution for 0.7=8x-4x^2 equation:

Simplifying
0.7 = 8x + -4x2

Solving
0.7 = 8x + -4x2

Solving for variable 'x'.

Reorder the terms:
0.7 + -8x + 4x2 = 8x + -8x + -4x2 + 4x2

Combine like terms: 8x + -8x = 0
0.7 + -8x + 4x2 = 0 + -4x2 + 4x2
0.7 + -8x + 4x2 = -4x2 + 4x2

Combine like terms: -4x2 + 4x2 = 0
0.7 + -8x + 4x2 = 0

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

Divide each side by '4'.
0.175 + -2x + x2 = 0

Move the constant term to the right:

Add '-0.175' to each side of the equation.
0.175 + -2x + -0.175 + x2 = 0 + -0.175

Reorder the terms:
0.175 + -0.175 + -2x + x2 = 0 + -0.175

Combine like terms: 0.175 + -0.175 = 0.000
0.000 + -2x + x2 = 0 + -0.175
-2x + x2 = 0 + -0.175

Combine like terms: 0 + -0.175 = -0.175
-2x + x2 = -0.175

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 = -0.175 + 1

Reorder the terms:
1 + -2x + x2 = -0.175 + 1

Combine like terms: -0.175 + 1 = 0.825
1 + -2x + x2 = 0.825

Factor a perfect square on the left side:
(x + -1)(x + -1) = 0.825

Calculate the square root of the right side: 0.908295106

Break this problem into two subproblems by setting 
(x + -1) equal to 0.908295106 and -0.908295106.

Subproblem 1
x + -1 = 0.908295106

Simplifying
x + -1 = 0.908295106

Reorder the terms:
-1 + x = 0.908295106

Solving
-1 + x = 0.908295106

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 = 0.908295106 + 1

Combine like terms: -1 + 1 = 0
0 + x = 0.908295106 + 1
x = 0.908295106 + 1

Combine like terms: 0.908295106 + 1 = 1.908295106
x = 1.908295106

Simplifying
x = 1.908295106

Subproblem 2
x + -1 = -0.908295106

Simplifying
x + -1 = -0.908295106

Reorder the terms:
-1 + x = -0.908295106

Solving
-1 + x = -0.908295106

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 = -0.908295106 + 1

Combine like terms: -1 + 1 = 0
0 + x = -0.908295106 + 1
x = -0.908295106 + 1

Combine like terms: -0.908295106 + 1 = 0.091704894
x = 0.091704894

Simplifying
x = 0.091704894

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.908295106, 0.091704894}