(3y-20)(4y+4)=

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Solution for (3y-20)(4y+4)= equation: 


Simplifying
(3y + -20)(4y + 4) = 0

Reorder the terms:
(-20 + 3y)(4y + 4) = 0

Reorder the terms:
(-20 + 3y)(4 + 4y) = 0

Multiply (-20 + 3y) * (4 + 4y)
(-20(4 + 4y) + 3y * (4 + 4y)) = 0
((4 * -20 + 4y * -20) + 3y * (4 + 4y)) = 0
((-80 + -80y) + 3y * (4 + 4y)) = 0
(-80 + -80y + (4 * 3y + 4y * 3y)) = 0
(-80 + -80y + (12y + 12y2)) = 0

Combine like terms: -80y + 12y = -68y
(-80 + -68y + 12y2) = 0

Solving
-80 + -68y + 12y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-20 + -17y + 3y2) = 0

Factor a trinomial.
4((-1 + -1y)(20 + -3y)) = 0

Ignore the factor 4.

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

Simplifying
-1 + -1y = 0

Solving
-1 + -1y = 0

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

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

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

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

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

Simplifying
y = -1

Subproblem 2
Set the factor '(20 + -3y)' equal to zero and attempt to solve:

Simplifying
20 + -3y = 0

Solving
20 + -3y = 0

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

Add '-20' to each side of the equation.
20 + -20 + -3y = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -3y = 0 + -20
-3y = 0 + -20

Combine like terms: 0 + -20 = -20
-3y = -20

Divide each side by '-3'.
y = 6.666666667

Simplifying
y = 6.666666667
Solution
y = {-1, 6.666666667}

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