(5y-5)(-3y-7)=

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Solution for (5y-5)(-3y-7)= equation: 


Simplifying
(5y + -5)(-3y + -7) = 0

Reorder the terms:
(-5 + 5y)(-3y + -7) = 0

Reorder the terms:
(-5 + 5y)(-7 + -3y) = 0

Multiply (-5 + 5y) * (-7 + -3y)
(-5(-7 + -3y) + 5y * (-7 + -3y)) = 0
((-7 * -5 + -3y * -5) + 5y * (-7 + -3y)) = 0
((35 + 15y) + 5y * (-7 + -3y)) = 0
(35 + 15y + (-7 * 5y + -3y * 5y)) = 0
(35 + 15y + (-35y + -15y2)) = 0

Combine like terms: 15y + -35y = -20y
(35 + -20y + -15y2) = 0

Solving
35 + -20y + -15y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '5'.
5(7 + -4y + -3y2) = 0

Factor a trinomial.
5((1 + -1y)(7 + 3y)) = 0

Ignore the factor 5.

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 '(7 + 3y)' equal to zero and attempt to solve:

Simplifying
7 + 3y = 0

Solving
7 + 3y = 0

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

Add '-7' to each side of the equation.
7 + -7 + 3y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 3y = 0 + -7
3y = 0 + -7

Combine like terms: 0 + -7 = -7
3y = -7

Divide each side by '3'.
y = -2.333333333

Simplifying
y = -2.333333333
Solution
y = {1, -2.333333333}

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