5y^2-12y+9=0

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Solution for 5y^2-12y+9=0 equation:


Simplifying
5y2 + -12y + 9 = 0

Reorder the terms:
9 + -12y + 5y2 = 0

Solving
9 + -12y + 5y2 = 0

Solving for variable 'y'.

Begin completing the square.  Divide all terms by
5 the coefficient of the squared term: 

Divide each side by '5'.
1.8 + -2.4y + y2 = 0

Move the constant term to the right:

Add '-1.8' to each side of the equation.
1.8 + -2.4y + -1.8 + y2 = 0 + -1.8

Reorder the terms:
1.8 + -1.8 + -2.4y + y2 = 0 + -1.8

Combine like terms: 1.8 + -1.8 = 0.0
0.0 + -2.4y + y2 = 0 + -1.8
-2.4y + y2 = 0 + -1.8

Combine like terms: 0 + -1.8 = -1.8
-2.4y + y2 = -1.8

The y term is -2.4y.  Take half its coefficient (-1.2).
Square it (1.44) and add it to both sides.

Add '1.44' to each side of the equation.
-2.4y + 1.44 + y2 = -1.8 + 1.44

Reorder the terms:
1.44 + -2.4y + y2 = -1.8 + 1.44

Combine like terms: -1.8 + 1.44 = -0.36
1.44 + -2.4y + y2 = -0.36

Factor a perfect square on the left side:
(y + -1.2)(y + -1.2) = -0.36

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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