y^2(y-3)(y^2-9)=0

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Solution for y^2(y-3)(y^2-9)=0 equation:


Simplifying
y2(y + -3)(y2 + -9) = 0

Reorder the terms:
y2(-3 + y)(y2 + -9) = 0

Reorder the terms:
y2(-3 + y)(-9 + y2) = 0

Multiply (-3 + y) * (-9 + y2)
y2(-3(-9 + y2) + y(-9 + y2)) = 0
y2((-9 * -3 + y2 * -3) + y(-9 + y2)) = 0
y2((27 + -3y2) + y(-9 + y2)) = 0
y2(27 + -3y2 + (-9 * y + y2 * y)) = 0
y2(27 + -3y2 + (-9y + y3)) = 0

Reorder the terms:
y2(27 + -9y + -3y2 + y3) = 0
y2(27 + -9y + -3y2 + y3) = 0
(27 * y2 + -9y * y2 + -3y2 * y2 + y3 * y2) = 0
(27y2 + -9y3 + -3y4 + y5) = 0

Solving
27y2 + -9y3 + -3y4 + y5 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y2'.
y2(27 + -9y + -3y2 + y3) = 0

Subproblem 1

Set the factor 'y2' equal to zero and attempt to solve: Simplifying y2 = 0 Solving y2 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y2 = 0 Take the square root of each side: y = {0}

Subproblem 2

Set the factor '(27 + -9y + -3y2 + y3)' equal to zero and attempt to solve: Simplifying 27 + -9y + -3y2 + y3 = 0 Solving 27 + -9y + -3y2 + y3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

y = {0}

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