(4y+9)(4y+9)=64y^3+432y^2+972y+729

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Solution for (4y+9)(4y+9)=64y^3+432y^2+972y+729 equation: 


Simplifying
(4y + 9)(4y + 9) = 64y3 + 432y2 + 972y + 729

Reorder the terms:
(9 + 4y)(4y + 9) = 64y3 + 432y2 + 972y + 729

Reorder the terms:
(9 + 4y)(9 + 4y) = 64y3 + 432y2 + 972y + 729

Multiply (9 + 4y) * (9 + 4y)
(9(9 + 4y) + 4y * (9 + 4y)) = 64y3 + 432y2 + 972y + 729
((9 * 9 + 4y * 9) + 4y * (9 + 4y)) = 64y3 + 432y2 + 972y + 729
((81 + 36y) + 4y * (9 + 4y)) = 64y3 + 432y2 + 972y + 729
(81 + 36y + (9 * 4y + 4y * 4y)) = 64y3 + 432y2 + 972y + 729
(81 + 36y + (36y + 16y2)) = 64y3 + 432y2 + 972y + 729

Combine like terms: 36y + 36y = 72y
(81 + 72y + 16y2) = 64y3 + 432y2 + 972y + 729

Reorder the terms:
81 + 72y + 16y2 = 729 + 972y + 432y2 + 64y3

Solving
81 + 72y + 16y2 = 729 + 972y + 432y2 + 64y3

Solving for variable 'y'.

Reorder the terms:
81 + -729 + 72y + -972y + 16y2 + -432y2 + -64y3 = 729 + 972y + 432y2 + 64y3 + -729 + -972y + -432y2 + -64y3

Combine like terms: 81 + -729 = -648
-648 + 72y + -972y + 16y2 + -432y2 + -64y3 = 729 + 972y + 432y2 + 64y3 + -729 + -972y + -432y2 + -64y3

Combine like terms: 72y + -972y = -900y
-648 + -900y + 16y2 + -432y2 + -64y3 = 729 + 972y + 432y2 + 64y3 + -729 + -972y + -432y2 + -64y3

Combine like terms: 16y2 + -432y2 = -416y2
-648 + -900y + -416y2 + -64y3 = 729 + 972y + 432y2 + 64y3 + -729 + -972y + -432y2 + -64y3

Reorder the terms:
-648 + -900y + -416y2 + -64y3 = 729 + -729 + 972y + -972y + 432y2 + -432y2 + 64y3 + -64y3

Combine like terms: 729 + -729 = 0
-648 + -900y + -416y2 + -64y3 = 0 + 972y + -972y + 432y2 + -432y2 + 64y3 + -64y3
-648 + -900y + -416y2 + -64y3 = 972y + -972y + 432y2 + -432y2 + 64y3 + -64y3

Combine like terms: 972y + -972y = 0
-648 + -900y + -416y2 + -64y3 = 0 + 432y2 + -432y2 + 64y3 + -64y3
-648 + -900y + -416y2 + -64y3 = 432y2 + -432y2 + 64y3 + -64y3

Combine like terms: 432y2 + -432y2 = 0
-648 + -900y + -416y2 + -64y3 = 0 + 64y3 + -64y3
-648 + -900y + -416y2 + -64y3 = 64y3 + -64y3

Combine like terms: 64y3 + -64y3 = 0
-648 + -900y + -416y2 + -64y3 = 0

Factor out the Greatest Common Factor (GCF), '-4'.
-4(162 + 225y + 104y2 + 16y3) = 0

Ignore the factor -4.

Subproblem 1
Set the factor '(162 + 225y + 104y2 + 16y3)' equal to zero and attempt to solve:

Simplifying
162 + 225y + 104y2 + 16y3 = 0

Solving
162 + 225y + 104y2 + 16y3 = 0

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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