(20-8y)(7.5-0.5y)=

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Solution for (20-8y)(7.5-0.5y)= equation: 


Simplifying
(20 + -8y)(7.5 + -0.5y) = 0

Multiply (20 + -8y) * (7.5 + -0.5y)
(20(7.5 + -0.5y) + -8y * (7.5 + -0.5y)) = 0
((7.5 * 20 + -0.5y * 20) + -8y * (7.5 + -0.5y)) = 0
((150 + -10y) + -8y * (7.5 + -0.5y)) = 0
(150 + -10y + (7.5 * -8y + -0.5y * -8y)) = 0
(150 + -10y + (-60y + 4y2)) = 0

Combine like terms: -10y + -60y = -70y
(150 + -70y + 4y2) = 0

Solving
150 + -70y + 4y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2'.
2(75 + -35y + 2y2) = 0

Factor a trinomial.
2((5 + -2y)(15 + -1y)) = 0

Ignore the factor 2.

Subproblem 1
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

Subproblem 2
Set the factor '(15 + -1y)' equal to zero and attempt to solve:

Simplifying
15 + -1y = 0

Solving
15 + -1y = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1y = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1y = 0 + -15
-1y = 0 + -15

Combine like terms: 0 + -15 = -15
-1y = -15

Divide each side by '-1'.
y = 15

Simplifying
y = 15
Solution
y = {2.5, 15}

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