(3y-5)*(3Y-5)+(y*y)=25

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Solution for (3y-5)*(3Y-5)+(y*y)=25 equation: 


Simplifying
(3y + -5)(3Y + -5) + (y * y) = 25

Reorder the terms:
(-5 + 3y)(3Y + -5) + (y * y) = 25

Reorder the terms:
(-5 + 3y)(-5 + 3Y) + (y * y) = 25

Multiply (-5 + 3y) * (-5 + 3Y)
(-5(-5 + 3Y) + 3y * (-5 + 3Y)) + (y * y) = 25
((-5 * -5 + 3Y * -5) + 3y * (-5 + 3Y)) + (y * y) = 25
((25 + -15Y) + 3y * (-5 + 3Y)) + (y * y) = 25
(25 + -15Y + (-5 * 3y + 3Y * 3y)) + (y * y) = 25
(25 + -15Y + (-15y + 9yY)) + (y * y) = 25
(25 + -15Y + -15y + 9yY) + (y * y) = 25

Multiply y * y
25 + -15Y + -15y + 9yY + (y2) = 25
25 + -15Y + -15y + 9yY + y2 = 25

Add '-25' to each side of the equation.
25 + -15Y + -15y + 9yY + -25 + y2 = 25 + -25

Reorder the terms:
25 + -25 + -15Y + -15y + 9yY + y2 = 25 + -25

Combine like terms: 25 + -25 = 0
0 + -15Y + -15y + 9yY + y2 = 25 + -25
-15Y + -15y + 9yY + y2 = 25 + -25

Combine like terms: 25 + -25 = 0
-15Y + -15y + 9yY + y2 = 0

Solving
-15Y + -15y + 9yY + y2 = 0

Solving for variable 'Y'.

Move all terms containing Y to the left, all other terms to the right.

Add '15y' to each side of the equation.
-15Y + -15y + 9yY + 15y + y2 = 0 + 15y

Reorder the terms:
-15Y + -15y + 15y + 9yY + y2 = 0 + 15y

Combine like terms: -15y + 15y = 0
-15Y + 0 + 9yY + y2 = 0 + 15y
-15Y + 9yY + y2 = 0 + 15y
Remove the zero:
-15Y + 9yY + y2 = 15y

Add '-1y2' to each side of the equation.
-15Y + 9yY + y2 + -1y2 = 15y + -1y2

Combine like terms: y2 + -1y2 = 0
-15Y + 9yY + 0 = 15y + -1y2
-15Y + 9yY = 15y + -1y2

Reorder the terms:
-15Y + -15y + 9yY + y2 = 15y + -1y2 + -15y + y2

Reorder the terms:
-15Y + -15y + 9yY + y2 = 15y + -15y + -1y2 + y2

Combine like terms: 15y + -15y = 0
-15Y + -15y + 9yY + y2 = 0 + -1y2 + y2
-15Y + -15y + 9yY + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
-15Y + -15y + 9yY + y2 = 0

The solution to this equation could not be determined.

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