x^2-16x=-68

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Solution for x^2-16x=-68 equation:


Simplifying
x2 + -16x = -68

Reorder the terms:
-16x + x2 = -68

Solving
-16x + x2 = -68

Solving for variable 'x'.

Reorder the terms:
68 + -16x + x2 = -68 + 68

Combine like terms: -68 + 68 = 0
68 + -16x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-68' to each side of the equation.
68 + -16x + -68 + x2 = 0 + -68

Reorder the terms:
68 + -68 + -16x + x2 = 0 + -68

Combine like terms: 68 + -68 = 0
0 + -16x + x2 = 0 + -68
-16x + x2 = 0 + -68

Combine like terms: 0 + -68 = -68
-16x + x2 = -68

The x term is -16x.  Take half its coefficient (-8).
Square it (64) and add it to both sides.

Add '64' to each side of the equation.
-16x + 64 + x2 = -68 + 64

Reorder the terms:
64 + -16x + x2 = -68 + 64

Combine like terms: -68 + 64 = -4
64 + -16x + x2 = -4

Factor a perfect square on the left side:
(x + -8)(x + -8) = -4

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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