2x(8-10x)=16

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Solution for 2x(8-10x)=16 equation: 


Simplifying
2x(8 + -10x) = 16
(8 * 2x + -10x * 2x) = 16
(16x + -20x2) = 16

Solving
16x + -20x2 = 16

Solving for variable 'x'.

Reorder the terms:
-16 + 16x + -20x2 = 16 + -16

Combine like terms: 16 + -16 = 0
-16 + 16x + -20x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-4 + 4x + -5x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-4 + 4x + -5x2)' equal to zero and attempt to solve:

Simplifying
-4 + 4x + -5x2 = 0

Solving
-4 + 4x + -5x2 = 0

Begin completing the square.  Divide all terms by
-5 the coefficient of the squared term: 

Divide each side by '-5'.
0.8 + -0.8x + x2 = 0

Move the constant term to the right:

Add '-0.8' to each side of the equation.
0.8 + -0.8x + -0.8 + x2 = 0 + -0.8

Reorder the terms:
0.8 + -0.8 + -0.8x + x2 = 0 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + -0.8x + x2 = 0 + -0.8
-0.8x + x2 = 0 + -0.8

Combine like terms: 0 + -0.8 = -0.8
-0.8x + x2 = -0.8

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 = -0.8 + 0.16

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

Combine like terms: -0.8 + 0.16 = -0.64
0.16 + -0.8x + x2 = -0.64

Factor a perfect square on the left side:
(x + -0.4)(x + -0.4) = -0.64

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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