(2y)(3y-10)=

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Solution for (2y)(3y-10)= equation: 


Simplifying
(2y)(3y + -10) = 0

Remove parenthesis around (2y)
2y(3y + -10) = 0

Reorder the terms:
2y(-10 + 3y) = 0
(-10 * 2y + 3y * 2y) = 0
(-20y + 6y2) = 0

Solving
-20y + 6y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2y'.
2y(-10 + 3y) = 0

Ignore the factor 2.

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 '(-10 + 3y)' equal to zero and attempt to solve:

Simplifying
-10 + 3y = 0

Solving
-10 + 3y = 0

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

Add '10' to each side of the equation.
-10 + 10 + 3y = 0 + 10

Combine like terms: -10 + 10 = 0
0 + 3y = 0 + 10
3y = 0 + 10

Combine like terms: 0 + 10 = 10
3y = 10

Divide each side by '3'.
y = 3.333333333

Simplifying
y = 3.333333333
Solution
y = {0, 3.333333333}

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