x^2-14x=-117

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Solution for x^2-14x=-117 equation:


Simplifying
x2 + -14x = -117

Reorder the terms:
-14x + x2 = -117

Solving
-14x + x2 = -117

Solving for variable 'x'.

Reorder the terms:
117 + -14x + x2 = -117 + 117

Combine like terms: -117 + 117 = 0
117 + -14x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-117' to each side of the equation.
117 + -14x + -117 + x2 = 0 + -117

Reorder the terms:
117 + -117 + -14x + x2 = 0 + -117

Combine like terms: 117 + -117 = 0
0 + -14x + x2 = 0 + -117
-14x + x2 = 0 + -117

Combine like terms: 0 + -117 = -117
-14x + x2 = -117

The x term is -14x.  Take half its coefficient (-7).
Square it (49) and add it to both sides.

Add '49' to each side of the equation.
-14x + 49 + x2 = -117 + 49

Reorder the terms:
49 + -14x + x2 = -117 + 49

Combine like terms: -117 + 49 = -68
49 + -14x + x2 = -68

Factor a perfect square on the left side:
(x + -7)(x + -7) = -68

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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