5y*5y-4y*4y*4y-7y*7y+6y*6y*6y=

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Solution for 5y*5y-4y*4y*4y-7y*7y+6y*6y*6y= equation: 


Simplifying
5y * 5y + -4y * 4y * 4y + -7y * 7y + 6y * 6y * 6y = 0

Reorder the terms for easier multiplication:
5 * 5y * y + -4y * 4y * 4y + -7y * 7y + 6y * 6y * 6y = 0

Multiply 5 * 5
25y * y + -4y * 4y * 4y + -7y * 7y + 6y * 6y * 6y = 0

Multiply y * y
25y2 + -4y * 4y * 4y + -7y * 7y + 6y * 6y * 6y = 0

Reorder the terms for easier multiplication:
25y2 + -4 * 4 * 4y * y * y + -7y * 7y + 6y * 6y * 6y = 0

Multiply -4 * 4
25y2 + -16 * 4y * y * y + -7y * 7y + 6y * 6y * 6y = 0

Multiply -16 * 4
25y2 + -64y * y * y + -7y * 7y + 6y * 6y * 6y = 0

Multiply y * y
25y2 + -64y2 * y + -7y * 7y + 6y * 6y * 6y = 0

Multiply y2 * y
25y2 + -64y3 + -7y * 7y + 6y * 6y * 6y = 0

Reorder the terms for easier multiplication:
25y2 + -64y3 + -7 * 7y * y + 6y * 6y * 6y = 0

Multiply -7 * 7
25y2 + -64y3 + -49y * y + 6y * 6y * 6y = 0

Multiply y * y
25y2 + -64y3 + -49y2 + 6y * 6y * 6y = 0

Reorder the terms for easier multiplication:
25y2 + -64y3 + -49y2 + 6 * 6 * 6y * y * y = 0

Multiply 6 * 6
25y2 + -64y3 + -49y2 + 36 * 6y * y * y = 0

Multiply 36 * 6
25y2 + -64y3 + -49y2 + 216y * y * y = 0

Multiply y * y
25y2 + -64y3 + -49y2 + 216y2 * y = 0

Multiply y2 * y
25y2 + -64y3 + -49y2 + 216y3 = 0

Reorder the terms:
25y2 + -49y2 + -64y3 + 216y3 = 0

Combine like terms: 25y2 + -49y2 = -24y2
-24y2 + -64y3 + 216y3 = 0

Combine like terms: -64y3 + 216y3 = 152y3
-24y2 + 152y3 = 0

Solving
-24y2 + 152y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '8y2'.
8y2(-3 + 19y) = 0

Ignore the factor 8.

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 '(-3 + 19y)' equal to zero and attempt to solve:

Simplifying
-3 + 19y = 0

Solving
-3 + 19y = 0

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

Add '3' to each side of the equation.
-3 + 3 + 19y = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 19y = 0 + 3
19y = 0 + 3

Combine like terms: 0 + 3 = 3
19y = 3

Divide each side by '19'.
y = 0.1578947368

Simplifying
y = 0.1578947368
Solution
y = {0, 0.1578947368}

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