(4+y)(7-3y)=0

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Solution for (4+y)(7-3y)=0 equation: 


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

Multiply (4 + y) * (7 + -3y)
(4(7 + -3y) + y(7 + -3y)) = 0
((7 * 4 + -3y * 4) + y(7 + -3y)) = 0
((28 + -12y) + y(7 + -3y)) = 0
(28 + -12y + (7 * y + -3y * y)) = 0
(28 + -12y + (7y + -3y2)) = 0

Combine like terms: -12y + 7y = -5y
(28 + -5y + -3y2) = 0

Solving
28 + -5y + -3y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(7 + -3y)(4 + y) = 0


Subproblem 1
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

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

Simplifying
4 + y = 0

Solving
4 + y = 0

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

Add '-4' to each side of the equation.
4 + -4 + y = 0 + -4

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

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

Simplifying
y = -4
Solution
y = {2.333333333, -4}

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