(7+y)(4y-5)=0

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Solution for (7+y)(4y-5)=0 equation: 


Simplifying
(7 + y)(4y + -5) = 0

Reorder the terms:
(7 + y)(-5 + 4y) = 0

Multiply (7 + y) * (-5 + 4y)
(7(-5 + 4y) + y(-5 + 4y)) = 0
((-5 * 7 + 4y * 7) + y(-5 + 4y)) = 0
((-35 + 28y) + y(-5 + 4y)) = 0
(-35 + 28y + (-5 * y + 4y * y)) = 0
(-35 + 28y + (-5y + 4y2)) = 0

Combine like terms: 28y + -5y = 23y
(-35 + 23y + 4y2) = 0

Solving
-35 + 23y + 4y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-7 + -1y)(5 + -4y) = 0


Subproblem 1
Set the factor '(-7 + -1y)' equal to zero and attempt to solve:

Simplifying
-7 + -1y = 0

Solving
-7 + -1y = 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 + -1y = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1y = 0 + 7
-1y = 0 + 7

Combine like terms: 0 + 7 = 7
-1y = 7

Divide each side by '-1'.
y = -7

Simplifying
y = -7

Subproblem 2
Set the factor '(5 + -4y)' equal to zero and attempt to solve:

Simplifying
5 + -4y = 0

Solving
5 + -4y = 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 + -4y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4y = 0 + -5
-4y = 0 + -5

Combine like terms: 0 + -5 = -5
-4y = -5

Divide each side by '-4'.
y = 1.25

Simplifying
y = 1.25
Solution
y = {-7, 1.25}

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