x^2-35x+490=0

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Solution for x^2-35x+490=0 equation:


Simplifying
x2 + -35x + 490 = 0

Reorder the terms:
490 + -35x + x2 = 0

Solving
490 + -35x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-490' to each side of the equation.
490 + -35x + -490 + x2 = 0 + -490

Reorder the terms:
490 + -490 + -35x + x2 = 0 + -490

Combine like terms: 490 + -490 = 0
0 + -35x + x2 = 0 + -490
-35x + x2 = 0 + -490

Combine like terms: 0 + -490 = -490
-35x + x2 = -490

The x term is -35x.  Take half its coefficient (-17.5).
Square it (306.25) and add it to both sides.

Add '306.25' to each side of the equation.
-35x + 306.25 + x2 = -490 + 306.25

Reorder the terms:
306.25 + -35x + x2 = -490 + 306.25

Combine like terms: -490 + 306.25 = -183.75
306.25 + -35x + x2 = -183.75

Factor a perfect square on the left side:
(x + -17.5)(x + -17.5) = -183.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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