x^2-4x+9=-9

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Solution for x^2-4x+9=-9 equation:


Simplifying
x2 + -4x + 9 = -9

Reorder the terms:
9 + -4x + x2 = -9

Solving
9 + -4x + x2 = -9

Solving for variable 'x'.

Reorder the terms:
9 + 9 + -4x + x2 = -9 + 9

Combine like terms: 9 + 9 = 18
18 + -4x + x2 = -9 + 9

Combine like terms: -9 + 9 = 0
18 + -4x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-18' to each side of the equation.
18 + -4x + -18 + x2 = 0 + -18

Reorder the terms:
18 + -18 + -4x + x2 = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -4x + x2 = 0 + -18
-4x + x2 = 0 + -18

Combine like terms: 0 + -18 = -18
-4x + x2 = -18

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 = -18 + 4

Reorder the terms:
4 + -4x + x2 = -18 + 4

Combine like terms: -18 + 4 = -14
4 + -4x + x2 = -14

Factor a perfect square on the left side:
(x + -2)(x + -2) = -14

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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