y^2-14y+49=-225

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Solution for y^2-14y+49=-225 equation:


Simplifying
y2 + -14y + 49 = -225

Reorder the terms:
49 + -14y + y2 = -225

Solving
49 + -14y + y2 = -225

Solving for variable 'y'.

Reorder the terms:
49 + 225 + -14y + y2 = -225 + 225

Combine like terms: 49 + 225 = 274
274 + -14y + y2 = -225 + 225

Combine like terms: -225 + 225 = 0
274 + -14y + y2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-274' to each side of the equation.
274 + -14y + -274 + y2 = 0 + -274

Reorder the terms:
274 + -274 + -14y + y2 = 0 + -274

Combine like terms: 274 + -274 = 0
0 + -14y + y2 = 0 + -274
-14y + y2 = 0 + -274

Combine like terms: 0 + -274 = -274
-14y + y2 = -274

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 = -274 + 49

Reorder the terms:
49 + -14y + y2 = -274 + 49

Combine like terms: -274 + 49 = -225
49 + -14y + y2 = -225

Factor a perfect square on the left side:
(y + -7)(y + -7) = -225

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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