4y^2-68y+488=0

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Solution for 4y^2-68y+488=0 equation:


Simplifying
4y2 + -68y + 488 = 0

Reorder the terms:
488 + -68y + 4y2 = 0

Solving
488 + -68y + 4y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '4'.
4(122 + -17y + y2) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(122 + -17y + y2)' equal to zero and attempt to solve: Simplifying 122 + -17y + y2 = 0 Solving 122 + -17y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-122' to each side of the equation. 122 + -17y + -122 + y2 = 0 + -122 Reorder the terms: 122 + -122 + -17y + y2 = 0 + -122 Combine like terms: 122 + -122 = 0 0 + -17y + y2 = 0 + -122 -17y + y2 = 0 + -122 Combine like terms: 0 + -122 = -122 -17y + y2 = -122 The y term is -17y. Take half its coefficient (-8.5). Square it (72.25) and add it to both sides. Add '72.25' to each side of the equation. -17y + 72.25 + y2 = -122 + 72.25 Reorder the terms: 72.25 + -17y + y2 = -122 + 72.25 Combine like terms: -122 + 72.25 = -49.75 72.25 + -17y + y2 = -49.75 Factor a perfect square on the left side: (y + -8.5)(y + -8.5) = -49.75 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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