y^2-14y+96=0

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Solution for y^2-14y+96=0 equation:


Simplifying
y2 + -14y + 96 = 0

Reorder the terms:
96 + -14y + y2 = 0

Solving
96 + -14y + y2 = 0

Solving for variable 'y'.

Begin completing the square.

Move the constant term to the right:

Add '-96' to each side of the equation.
96 + -14y + -96 + y2 = 0 + -96

Reorder the terms:
96 + -96 + -14y + y2 = 0 + -96

Combine like terms: 96 + -96 = 0
0 + -14y + y2 = 0 + -96
-14y + y2 = 0 + -96

Combine like terms: 0 + -96 = -96
-14y + y2 = -96

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

Add '49' to each side of the equation.
-14y + 49 + y2 = -96 + 49

Reorder the terms:
49 + -14y + y2 = -96 + 49

Combine like terms: -96 + 49 = -47
49 + -14y + y2 = -47

Factor a perfect square on the left side:
(y + -7)(y + -7) = -47

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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