x^2-46x+709=0

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Solution for x^2-46x+709=0 equation:


Simplifying
x2 + -46x + 709 = 0

Reorder the terms:
709 + -46x + x2 = 0

Solving
709 + -46x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-709' to each side of the equation.
709 + -46x + -709 + x2 = 0 + -709

Reorder the terms:
709 + -709 + -46x + x2 = 0 + -709

Combine like terms: 709 + -709 = 0
0 + -46x + x2 = 0 + -709
-46x + x2 = 0 + -709

Combine like terms: 0 + -709 = -709
-46x + x2 = -709

The x term is -46x.  Take half its coefficient (-23).
Square it (529) and add it to both sides.

Add '529' to each side of the equation.
-46x + 529 + x2 = -709 + 529

Reorder the terms:
529 + -46x + x2 = -709 + 529

Combine like terms: -709 + 529 = -180
529 + -46x + x2 = -180

Factor a perfect square on the left side:
(x + -23)(x + -23) = -180

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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