4y^2-15y+35=0

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Solution for 4y^2-15y+35=0 equation:


Simplifying
4y2 + -15y + 35 = 0

Reorder the terms:
35 + -15y + 4y2 = 0

Solving
35 + -15y + 4y2 = 0

Solving for variable 'y'.

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

Divide each side by '4'.
8.75 + -3.75y + y2 = 0

Move the constant term to the right:

Add '-8.75' to each side of the equation.
8.75 + -3.75y + -8.75 + y2 = 0 + -8.75

Reorder the terms:
8.75 + -8.75 + -3.75y + y2 = 0 + -8.75

Combine like terms: 8.75 + -8.75 = 0.00
0.00 + -3.75y + y2 = 0 + -8.75
-3.75y + y2 = 0 + -8.75

Combine like terms: 0 + -8.75 = -8.75
-3.75y + y2 = -8.75

The y term is -3.75y.  Take half its coefficient (-1.875).
Square it (3.515625) and add it to both sides.

Add '3.515625' to each side of the equation.
-3.75y + 3.515625 + y2 = -8.75 + 3.515625

Reorder the terms:
3.515625 + -3.75y + y2 = -8.75 + 3.515625

Combine like terms: -8.75 + 3.515625 = -5.234375
3.515625 + -3.75y + y2 = -5.234375

Factor a perfect square on the left side:
(y + -1.875)(y + -1.875) = -5.234375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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