X^2-6X=-14

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Solution for X^2-6X=-14 equation:


Simplifying
X2 + -6X = -14

Reorder the terms:
-6X + X2 = -14

Solving
-6X + X2 = -14

Solving for variable 'X'.

Reorder the terms:
14 + -6X + X2 = -14 + 14

Combine like terms: -14 + 14 = 0
14 + -6X + X2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-14' to each side of the equation.
14 + -6X + -14 + X2 = 0 + -14

Reorder the terms:
14 + -14 + -6X + X2 = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -6X + X2 = 0 + -14
-6X + X2 = 0 + -14

Combine like terms: 0 + -14 = -14
-6X + X2 = -14

The X term is -6X.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6X + 9 + X2 = -14 + 9

Reorder the terms:
9 + -6X + X2 = -14 + 9

Combine like terms: -14 + 9 = -5
9 + -6X + X2 = -5

Factor a perfect square on the left side:
(X + -3)(X + -3) = -5

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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