3y*3y-3y*3y*3y-7y*7y+5y*5y*5y=

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Solution for 3y*3y-3y*3y*3y-7y*7y+5y*5y*5y= equation: 


Simplifying
3y * 3y + -3y * 3y * 3y + -7y * 7y + 5y * 5y * 5y = 0

Reorder the terms for easier multiplication:
3 * 3y * y + -3y * 3y * 3y + -7y * 7y + 5y * 5y * 5y = 0

Multiply 3 * 3
9y * y + -3y * 3y * 3y + -7y * 7y + 5y * 5y * 5y = 0

Multiply y * y
9y2 + -3y * 3y * 3y + -7y * 7y + 5y * 5y * 5y = 0

Reorder the terms for easier multiplication:
9y2 + -3 * 3 * 3y * y * y + -7y * 7y + 5y * 5y * 5y = 0

Multiply -3 * 3
9y2 + -9 * 3y * y * y + -7y * 7y + 5y * 5y * 5y = 0

Multiply -9 * 3
9y2 + -27y * y * y + -7y * 7y + 5y * 5y * 5y = 0

Multiply y * y
9y2 + -27y2 * y + -7y * 7y + 5y * 5y * 5y = 0

Multiply y2 * y
9y2 + -27y3 + -7y * 7y + 5y * 5y * 5y = 0

Reorder the terms for easier multiplication:
9y2 + -27y3 + -7 * 7y * y + 5y * 5y * 5y = 0

Multiply -7 * 7
9y2 + -27y3 + -49y * y + 5y * 5y * 5y = 0

Multiply y * y
9y2 + -27y3 + -49y2 + 5y * 5y * 5y = 0

Reorder the terms for easier multiplication:
9y2 + -27y3 + -49y2 + 5 * 5 * 5y * y * y = 0

Multiply 5 * 5
9y2 + -27y3 + -49y2 + 25 * 5y * y * y = 0

Multiply 25 * 5
9y2 + -27y3 + -49y2 + 125y * y * y = 0

Multiply y * y
9y2 + -27y3 + -49y2 + 125y2 * y = 0

Multiply y2 * y
9y2 + -27y3 + -49y2 + 125y3 = 0

Reorder the terms:
9y2 + -49y2 + -27y3 + 125y3 = 0

Combine like terms: 9y2 + -49y2 = -40y2
-40y2 + -27y3 + 125y3 = 0

Combine like terms: -27y3 + 125y3 = 98y3
-40y2 + 98y3 = 0

Solving
-40y2 + 98y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2y2'.
2y2(-20 + 49y) = 0

Ignore the factor 2.

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 '(-20 + 49y)' equal to zero and attempt to solve:

Simplifying
-20 + 49y = 0

Solving
-20 + 49y = 0

Move all terms containing y to the left, all other terms to the right.

Add '20' to each side of the equation.
-20 + 20 + 49y = 0 + 20

Combine like terms: -20 + 20 = 0
0 + 49y = 0 + 20
49y = 0 + 20

Combine like terms: 0 + 20 = 20
49y = 20

Divide each side by '49'.
y = 0.4081632653

Simplifying
y = 0.4081632653
Solution
y = {0, 0.4081632653}

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