5y(2y-5)=0

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Solution for 5y(2y-5)=0 equation: 


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

Reorder the terms:
5y(-5 + 2y) = 0
(-5 * 5y + 2y * 5y) = 0
(-25y + 10y2) = 0

Solving
-25y + 10y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '5y'.
5y(-5 + 2y) = 0

Ignore the factor 5.

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 '(-5 + 2y)' equal to zero and attempt to solve:

Simplifying
-5 + 2y = 0

Solving
-5 + 2y = 0

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

Add '5' to each side of the equation.
-5 + 5 + 2y = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 2y = 0 + 5
2y = 0 + 5

Combine like terms: 0 + 5 = 5
2y = 5

Divide each side by '2'.
y = 2.5

Simplifying
y = 2.5
Solution
y = {0, 2.5}

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