(m-14)(m-14)+y^2=(y+7)(y+7)

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Solution for (m-14)(m-14)+y^2=(y+7)(y+7) equation: 


Simplifying
(m + -14)(m + -14) + y2 = (y + 7)(y + 7)

Reorder the terms:
(-14 + m)(m + -14) + y2 = (y + 7)(y + 7)

Reorder the terms:
(-14 + m)(-14 + m) + y2 = (y + 7)(y + 7)

Multiply (-14 + m) * (-14 + m)
(-14(-14 + m) + m(-14 + m)) + y2 = (y + 7)(y + 7)
((-14 * -14 + m * -14) + m(-14 + m)) + y2 = (y + 7)(y + 7)
((196 + -14m) + m(-14 + m)) + y2 = (y + 7)(y + 7)
(196 + -14m + (-14 * m + m * m)) + y2 = (y + 7)(y + 7)
(196 + -14m + (-14m + m2)) + y2 = (y + 7)(y + 7)

Combine like terms: -14m + -14m = -28m
(196 + -28m + m2) + y2 = (y + 7)(y + 7)

Reorder the terms:
196 + -28m + m2 + y2 = (7 + y)(y + 7)

Reorder the terms:
196 + -28m + m2 + y2 = (7 + y)(7 + y)

Multiply (7 + y) * (7 + y)
196 + -28m + m2 + y2 = (7(7 + y) + y(7 + y))
196 + -28m + m2 + y2 = ((7 * 7 + y * 7) + y(7 + y))
196 + -28m + m2 + y2 = ((49 + 7y) + y(7 + y))
196 + -28m + m2 + y2 = (49 + 7y + (7 * y + y * y))
196 + -28m + m2 + y2 = (49 + 7y + (7y + y2))

Combine like terms: 7y + 7y = 14y
196 + -28m + m2 + y2 = (49 + 14y + y2)

Add '-1y2' to each side of the equation.
196 + -28m + m2 + y2 + -1y2 = 49 + 14y + y2 + -1y2

Combine like terms: y2 + -1y2 = 0
196 + -28m + m2 + 0 = 49 + 14y + y2 + -1y2
196 + -28m + m2 = 49 + 14y + y2 + -1y2

Combine like terms: y2 + -1y2 = 0
196 + -28m + m2 = 49 + 14y + 0
196 + -28m + m2 = 49 + 14y

Solving
196 + -28m + m2 = 49 + 14y

Solving for variable 'm'.

Reorder the terms:
196 + -49 + -28m + m2 + -14y = 49 + 14y + -49 + -14y

Combine like terms: 196 + -49 = 147
147 + -28m + m2 + -14y = 49 + 14y + -49 + -14y

Reorder the terms:
147 + -28m + m2 + -14y = 49 + -49 + 14y + -14y

Combine like terms: 49 + -49 = 0
147 + -28m + m2 + -14y = 0 + 14y + -14y
147 + -28m + m2 + -14y = 14y + -14y

Combine like terms: 14y + -14y = 0
147 + -28m + m2 + -14y = 0

The solution to this equation could not be determined.

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