9y^2-36y+72=0

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Solution for 9y^2-36y+72=0 equation:


Simplifying
9y2 + -36y + 72 = 0

Reorder the terms:
72 + -36y + 9y2 = 0

Solving
72 + -36y + 9y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '9'.
9(8 + -4y + y2) = 0

Ignore the factor 9.

Subproblem 1

Set the factor '(8 + -4y + y2)' equal to zero and attempt to solve: Simplifying 8 + -4y + y2 = 0 Solving 8 + -4y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-8' to each side of the equation. 8 + -4y + -8 + y2 = 0 + -8 Reorder the terms: 8 + -8 + -4y + y2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -4y + y2 = 0 + -8 -4y + y2 = 0 + -8 Combine like terms: 0 + -8 = -8 -4y + y2 = -8 The y term is -4y. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4y + 4 + y2 = -8 + 4 Reorder the terms: 4 + -4y + y2 = -8 + 4 Combine like terms: -8 + 4 = -4 4 + -4y + y2 = -4 Factor a perfect square on the left side: (y + -2)(y + -2) = -4 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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