-x^2+4x-180=0

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Solution for -x^2+4x-180=0 equation:


Simplifying
-1x2 + 4x + -180 = 0

Reorder the terms:
-180 + 4x + -1x2 = 0

Solving
-180 + 4x + -1x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
180 + -4x + x2 = 0

Move the constant term to the right:

Add '-180' to each side of the equation.
180 + -4x + -180 + x2 = 0 + -180

Reorder the terms:
180 + -180 + -4x + x2 = 0 + -180

Combine like terms: 180 + -180 = 0
0 + -4x + x2 = 0 + -180
-4x + x2 = 0 + -180

Combine like terms: 0 + -180 = -180
-4x + x2 = -180

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 = -180 + 4

Reorder the terms:
4 + -4x + x2 = -180 + 4

Combine like terms: -180 + 4 = -176
4 + -4x + x2 = -176

Factor a perfect square on the left side:
(x + -2)(x + -2) = -176

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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