x^2-8x+16=-45

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Solution for x^2-8x+16=-45 equation:


Simplifying
x2 + -8x + 16 = -45

Reorder the terms:
16 + -8x + x2 = -45

Solving
16 + -8x + x2 = -45

Solving for variable 'x'.

Reorder the terms:
16 + 45 + -8x + x2 = -45 + 45

Combine like terms: 16 + 45 = 61
61 + -8x + x2 = -45 + 45

Combine like terms: -45 + 45 = 0
61 + -8x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-61' to each side of the equation.
61 + -8x + -61 + x2 = 0 + -61

Reorder the terms:
61 + -61 + -8x + x2 = 0 + -61

Combine like terms: 61 + -61 = 0
0 + -8x + x2 = 0 + -61
-8x + x2 = 0 + -61

Combine like terms: 0 + -61 = -61
-8x + x2 = -61

The x term is -8x.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8x + 16 + x2 = -61 + 16

Reorder the terms:
16 + -8x + x2 = -61 + 16

Combine like terms: -61 + 16 = -45
16 + -8x + x2 = -45

Factor a perfect square on the left side:
(x + -4)(x + -4) = -45

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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