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

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Solution for (2+y)(4y-7)=0 equation: 


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

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

Multiply (2 + y) * (-7 + 4y)
(2(-7 + 4y) + y(-7 + 4y)) = 0
((-7 * 2 + 4y * 2) + y(-7 + 4y)) = 0
((-14 + 8y) + y(-7 + 4y)) = 0
(-14 + 8y + (-7 * y + 4y * y)) = 0
(-14 + 8y + (-7y + 4y2)) = 0

Combine like terms: 8y + -7y = 1y
(-14 + 1y + 4y2) = 0

Solving
-14 + 1y + 4y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-2 + -1y)(7 + -4y) = 0


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

Simplifying
-2 + -1y = 0

Solving
-2 + -1y = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1y = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1y = 0 + 2
-1y = 0 + 2

Combine like terms: 0 + 2 = 2
-1y = 2

Divide each side by '-1'.
y = -2

Simplifying
y = -2

Subproblem 2
Set the factor '(7 + -4y)' equal to zero and attempt to solve:

Simplifying
7 + -4y = 0

Solving
7 + -4y = 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 + -4y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4y = 0 + -7
-4y = 0 + -7

Combine like terms: 0 + -7 = -7
-4y = -7

Divide each side by '-4'.
y = 1.75

Simplifying
y = 1.75
Solution
y = {-2, 1.75}

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