-2x(4x+8)=20

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Solution for -2x(4x+8)=20 equation: 


Simplifying
-2x(4x + 8) = 20

Reorder the terms:
-2x(8 + 4x) = 20
(8 * -2x + 4x * -2x) = 20
(-16x + -8x2) = 20

Solving
-16x + -8x2 = 20

Solving for variable 'x'.

Reorder the terms:
-20 + -16x + -8x2 = 20 + -20

Combine like terms: 20 + -20 = 0
-20 + -16x + -8x2 = 0

Factor out the Greatest Common Factor (GCF), '-4'.
-4(5 + 4x + 2x2) = 0

Ignore the factor -4.

Subproblem 1
Set the factor '(5 + 4x + 2x2)' equal to zero and attempt to solve:

Simplifying
5 + 4x + 2x2 = 0

Solving
5 + 4x + 2x2 = 0

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

Divide each side by '2'.
2.5 + 2x + x2 = 0

Move the constant term to the right:

Add '-2.5' to each side of the equation.
2.5 + 2x + -2.5 + x2 = 0 + -2.5

Reorder the terms:
2.5 + -2.5 + 2x + x2 = 0 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + 2x + x2 = 0 + -2.5
2x + x2 = 0 + -2.5

Combine like terms: 0 + -2.5 = -2.5
2x + x2 = -2.5

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 = -2.5 + 1

Reorder the terms:
1 + 2x + x2 = -2.5 + 1

Combine like terms: -2.5 + 1 = -1.5
1 + 2x + x2 = -1.5

Factor a perfect square on the left side:
(x + 1)(x + 1) = -1.5

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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