x^2-6x+9=-400

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Solution for x^2-6x+9=-400 equation:


Simplifying
x2 + -6x + 9 = -400

Reorder the terms:
9 + -6x + x2 = -400

Solving
9 + -6x + x2 = -400

Solving for variable 'x'.

Reorder the terms:
9 + 400 + -6x + x2 = -400 + 400

Combine like terms: 9 + 400 = 409
409 + -6x + x2 = -400 + 400

Combine like terms: -400 + 400 = 0
409 + -6x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-409' to each side of the equation.
409 + -6x + -409 + x2 = 0 + -409

Reorder the terms:
409 + -409 + -6x + x2 = 0 + -409

Combine like terms: 409 + -409 = 0
0 + -6x + x2 = 0 + -409
-6x + x2 = 0 + -409

Combine like terms: 0 + -409 = -409
-6x + x2 = -409

The x term is -6x.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6x + 9 + x2 = -409 + 9

Reorder the terms:
9 + -6x + x2 = -409 + 9

Combine like terms: -409 + 9 = -400
9 + -6x + x2 = -400

Factor a perfect square on the left side:
(x + -3)(x + -3) = -400

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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