3y(2y+5)-7y(2y-7)=

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Solution for 3y(2y+5)-7y(2y-7)= equation: 


Simplifying
3y(2y + 5) + -7y(2y + -7) = 0

Reorder the terms:
3y(5 + 2y) + -7y(2y + -7) = 0
(5 * 3y + 2y * 3y) + -7y(2y + -7) = 0
(15y + 6y2) + -7y(2y + -7) = 0

Reorder the terms:
15y + 6y2 + -7y(-7 + 2y) = 0
15y + 6y2 + (-7 * -7y + 2y * -7y) = 0
15y + 6y2 + (49y + -14y2) = 0

Reorder the terms:
15y + 49y + 6y2 + -14y2 = 0

Combine like terms: 15y + 49y = 64y
64y + 6y2 + -14y2 = 0

Combine like terms: 6y2 + -14y2 = -8y2
64y + -8y2 = 0

Solving
64y + -8y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '8y'.
8y(8 + -1y) = 0

Ignore the factor 8.

Subproblem 1
Set the factor 'y' equal to zero and attempt to solve:

Simplifying
y = 0

Solving
y = 0

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

Simplifying
y = 0

Subproblem 2
Set the factor '(8 + -1y)' equal to zero and attempt to solve:

Simplifying
8 + -1y = 0

Solving
8 + -1y = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1y = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1y = 0 + -8
-1y = 0 + -8

Combine like terms: 0 + -8 = -8
-1y = -8

Divide each side by '-1'.
y = 8

Simplifying
y = 8
Solution
y = {0, 8}

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