(2y*5)(y-4)=0

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Solution for (2y*5)(y-4)=0 equation: 


Simplifying
(2y * 5)(y + -4) = 0

Reorder the terms for easier multiplication:
(2 * 5y)(y + -4) = 0

Multiply 2 * 5
(10y)(y + -4) = 0

Remove parenthesis around (10y)
10y(y + -4) = 0

Reorder the terms:
10y(-4 + y) = 0
(-4 * 10y + y * 10y) = 0
(-40y + 10y2) = 0

Solving
-40y + 10y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '10y'.
10y(-4 + y) = 0

Ignore the factor 10.

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 + y)' equal to zero and attempt to solve:

Simplifying
-4 + y = 0

Solving
-4 + y = 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 + y = 0 + 4

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

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

Simplifying
y = 4
Solution
y = {0, 4}

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