(5y-4)(7y+y)=0

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Solution for (5y-4)(7y+y)=0 equation: 


Simplifying
(5y + -4)(7y + y) = 0

Reorder the terms:
(-4 + 5y)(7y + y) = 0

Combine like terms: 7y + y = 8y
(-4 + 5y)(8y) = 0

Remove parenthesis around (8y)
(-4 + 5y) * 8y = 0

Reorder the terms for easier multiplication:
8y(-4 + 5y) = 0
(-4 * 8y + 5y * 8y) = 0
(-32y + 40y2) = 0

Solving
-32y + 40y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '8y'.
8y(-4 + 5y) = 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 '(-4 + 5y)' equal to zero and attempt to solve:

Simplifying
-4 + 5y = 0

Solving
-4 + 5y = 0

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

Add '4' to each side of the equation.
-4 + 4 + 5y = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 5y = 0 + 4
5y = 0 + 4

Combine like terms: 0 + 4 = 4
5y = 4

Divide each side by '5'.
y = 0.8

Simplifying
y = 0.8
Solution
y = {0, 0.8}

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