6y^3-54y=8y^2-72

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Solution for 6y^3-54y=8y^2-72 equation:


Simplifying
6y3 + -54y = 8y2 + -72

Reorder the terms:
-54y + 6y3 = 8y2 + -72

Reorder the terms:
-54y + 6y3 = -72 + 8y2

Solving
-54y + 6y3 = -72 + 8y2

Solving for variable 'y'.

Reorder the terms:
72 + -54y + -8y2 + 6y3 = -72 + 8y2 + 72 + -8y2

Reorder the terms:
72 + -54y + -8y2 + 6y3 = -72 + 72 + 8y2 + -8y2

Combine like terms: -72 + 72 = 0
72 + -54y + -8y2 + 6y3 = 0 + 8y2 + -8y2
72 + -54y + -8y2 + 6y3 = 8y2 + -8y2

Combine like terms: 8y2 + -8y2 = 0
72 + -54y + -8y2 + 6y3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(36 + -27y + -4y2 + 3y3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(36 + -27y + -4y2 + 3y3)' equal to zero and attempt to solve: Simplifying 36 + -27y + -4y2 + 3y3 = 0 Solving 36 + -27y + -4y2 + 3y3 = 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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