x^2-7x+84=0

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Solution for x^2-7x+84=0 equation: 


Simplifying
x2 + -7x + 84 = 0

Reorder the terms:
84 + -7x + x2 = 0

Solving
84 + -7x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-84' to each side of the equation.
84 + -7x + -84 + x2 = 0 + -84

Reorder the terms:
84 + -84 + -7x + x2 = 0 + -84

Combine like terms: 84 + -84 = 0
0 + -7x + x2 = 0 + -84
-7x + x2 = 0 + -84

Combine like terms: 0 + -84 = -84
-7x + x2 = -84

The x term is -7x.  Take half its coefficient (-3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
-7x + 12.25 + x2 = -84 + 12.25

Reorder the terms:
12.25 + -7x + x2 = -84 + 12.25

Combine like terms: -84 + 12.25 = -71.75
12.25 + -7x + x2 = -71.75

Factor a perfect square on the left side:
(x + -3.5)(x + -3.5) = -71.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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