(5y-3)(2y-5)=0

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Solution for (5y-3)(2y-5)=0 equation: 


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

Reorder the terms:
(-3 + 5y)(2y + -5) = 0

Reorder the terms:
(-3 + 5y)(-5 + 2y) = 0

Multiply (-3 + 5y) * (-5 + 2y)
(-3(-5 + 2y) + 5y * (-5 + 2y)) = 0
((-5 * -3 + 2y * -3) + 5y * (-5 + 2y)) = 0
((15 + -6y) + 5y * (-5 + 2y)) = 0
(15 + -6y + (-5 * 5y + 2y * 5y)) = 0
(15 + -6y + (-25y + 10y2)) = 0

Combine like terms: -6y + -25y = -31y
(15 + -31y + 10y2) = 0

Solving
15 + -31y + 10y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(3 + -5y)(5 + -2y) = 0


Subproblem 1
Set the factor '(3 + -5y)' equal to zero and attempt to solve:

Simplifying
3 + -5y = 0

Solving
3 + -5y = 0

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

Add '-3' to each side of the equation.
3 + -3 + -5y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5y = 0 + -3
-5y = 0 + -3

Combine like terms: 0 + -3 = -3
-5y = -3

Divide each side by '-5'.
y = 0.6

Simplifying
y = 0.6

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 = {0.6, 2.5}

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