x^2-7x+112=0

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Solution for x^2-7x+112=0 equation:


Simplifying
x2 + -7x + 112 = 0

Reorder the terms:
112 + -7x + x2 = 0

Solving
112 + -7x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-112' to each side of the equation.
112 + -7x + -112 + x2 = 0 + -112

Reorder the terms:
112 + -112 + -7x + x2 = 0 + -112

Combine like terms: 112 + -112 = 0
0 + -7x + x2 = 0 + -112
-7x + x2 = 0 + -112

Combine like terms: 0 + -112 = -112
-7x + x2 = -112

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 = -112 + 12.25

Reorder the terms:
12.25 + -7x + x2 = -112 + 12.25

Combine like terms: -112 + 12.25 = -99.75
12.25 + -7x + x2 = -99.75

Factor a perfect square on the left side:
(x + -3.5)(x + -3.5) = -99.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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