4y^2+16y+36=

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Solution for 4y^2+16y+36= equation:


Simplifying
4y2 + 16y + 36 = 0

Reorder the terms:
36 + 16y + 4y2 = 0

Solving
36 + 16y + 4y2 = 0

Solving for variable 'y'.

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

Ignore the factor 4.

Subproblem 1

Set the factor '(9 + 4y + y2)' equal to zero and attempt to solve: Simplifying 9 + 4y + y2 = 0 Solving 9 + 4y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-9' to each side of the equation. 9 + 4y + -9 + y2 = 0 + -9 Reorder the terms: 9 + -9 + 4y + y2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4y + y2 = 0 + -9 4y + y2 = 0 + -9 Combine like terms: 0 + -9 = -9 4y + y2 = -9 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 = -9 + 4 Reorder the terms: 4 + 4y + y2 = -9 + 4 Combine like terms: -9 + 4 = -5 4 + 4y + y2 = -5 Factor a perfect square on the left side: (y + 2)(y + 2) = -5 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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