x^2-14x=-50

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Solution for x^2-14x=-50 equation:


Simplifying
x2 + -14x = -50

Reorder the terms:
-14x + x2 = -50

Solving
-14x + x2 = -50

Solving for variable 'x'.

Reorder the terms:
50 + -14x + x2 = -50 + 50

Combine like terms: -50 + 50 = 0
50 + -14x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-50' to each side of the equation.
50 + -14x + -50 + x2 = 0 + -50

Reorder the terms:
50 + -50 + -14x + x2 = 0 + -50

Combine like terms: 50 + -50 = 0
0 + -14x + x2 = 0 + -50
-14x + x2 = 0 + -50

Combine like terms: 0 + -50 = -50
-14x + x2 = -50

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 = -50 + 49

Reorder the terms:
49 + -14x + x2 = -50 + 49

Combine like terms: -50 + 49 = -1
49 + -14x + x2 = -1

Factor a perfect square on the left side:
(x + -7)(x + -7) = -1

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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