-3+4x(8-10x)=

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Solution for -3+4x(8-10x)= equation: 


Simplifying
-3 + 4x(8 + -10x) = 0
-3 + (8 * 4x + -10x * 4x) = 0
-3 + (32x + -40x2) = 0

Solving
-3 + 32x + -40x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-40 the coefficient of the squared term: 

Divide each side by '-40'.
0.075 + -0.8x + x2 = 0.0

Move the constant term to the right:

Add '-0.075' to each side of the equation.
0.075 + -0.8x + -0.075 + x2 = 0.0 + -0.075

Reorder the terms:
0.075 + -0.075 + -0.8x + x2 = 0.0 + -0.075

Combine like terms: 0.075 + -0.075 = 0.000
0.000 + -0.8x + x2 = 0.0 + -0.075
-0.8x + x2 = 0.0 + -0.075

Combine like terms: 0.0 + -0.075 = -0.075
-0.8x + x2 = -0.075

The x term is -0.8x.  Take half its coefficient (-0.4).
Square it (0.16) and add it to both sides.

Add '0.16' to each side of the equation.
-0.8x + 0.16 + x2 = -0.075 + 0.16

Reorder the terms:
0.16 + -0.8x + x2 = -0.075 + 0.16

Combine like terms: -0.075 + 0.16 = 0.085
0.16 + -0.8x + x2 = 0.085

Factor a perfect square on the left side:
(x + -0.4)(x + -0.4) = 0.085

Calculate the square root of the right side: 0.291547595

Break this problem into two subproblems by setting 
(x + -0.4) equal to 0.291547595 and -0.291547595.


Subproblem 1
x + -0.4 = 0.291547595

Simplifying
x + -0.4 = 0.291547595

Reorder the terms:
-0.4 + x = 0.291547595

Solving
-0.4 + x = 0.291547595

Solving for variable 'x'.

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

Add '0.4' to each side of the equation.
-0.4 + 0.4 + x = 0.291547595 + 0.4

Combine like terms: -0.4 + 0.4 = 0.0
0.0 + x = 0.291547595 + 0.4
x = 0.291547595 + 0.4

Combine like terms: 0.291547595 + 0.4 = 0.691547595
x = 0.691547595

Simplifying
x = 0.691547595


Subproblem 2
x + -0.4 = -0.291547595

Simplifying
x + -0.4 = -0.291547595

Reorder the terms:
-0.4 + x = -0.291547595

Solving
-0.4 + x = -0.291547595

Solving for variable 'x'.

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

Add '0.4' to each side of the equation.
-0.4 + 0.4 + x = -0.291547595 + 0.4

Combine like terms: -0.4 + 0.4 = 0.0
0.0 + x = -0.291547595 + 0.4
x = -0.291547595 + 0.4

Combine like terms: -0.291547595 + 0.4 = 0.108452405
x = 0.108452405

Simplifying
x = 0.108452405


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.691547595, 0.108452405}

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