0=-2x^2+8x-16

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Solution for 0=-2x^2+8x-16 equation:


Simplifying
0 = -2x2 + 8x + -16

Reorder the terms:
0 = -16 + 8x + -2x2

Solving
0 = -16 + 8x + -2x2

Solving for variable 'x'.

Combine like terms: 0 + 16 = 16
16 + -8x + 2x2 = -16 + 8x + -2x2 + 16 + -8x + 2x2

Reorder the terms:
16 + -8x + 2x2 = -16 + 16 + 8x + -8x + -2x2 + 2x2

Combine like terms: -16 + 16 = 0
16 + -8x + 2x2 = 0 + 8x + -8x + -2x2 + 2x2
16 + -8x + 2x2 = 8x + -8x + -2x2 + 2x2

Combine like terms: 8x + -8x = 0
16 + -8x + 2x2 = 0 + -2x2 + 2x2
16 + -8x + 2x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
16 + -8x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(8 + -4x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(8 + -4x + x2)' equal to zero and attempt to solve:

Simplifying
8 + -4x + x2 = 0

Solving
8 + -4x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-8' to each side of the equation.
8 + -4x + -8 + x2 = 0 + -8

Reorder the terms:
8 + -8 + -4x + x2 = 0 + -8

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

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

The x term is -4x.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4x + 4 + x2 = -8 + 4

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

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

Factor a perfect square on the left side:
(x + -2)(x + -2) = -4

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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