5(4y-7)(4y+8)=

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Solution for 5(4y-7)(4y+8)= equation: 


Simplifying
5(4y + -7)(4y + 8) = 0

Reorder the terms:
5(-7 + 4y)(4y + 8) = 0

Reorder the terms:
5(-7 + 4y)(8 + 4y) = 0

Multiply (-7 + 4y) * (8 + 4y)
5(-7(8 + 4y) + 4y * (8 + 4y)) = 0
5((8 * -7 + 4y * -7) + 4y * (8 + 4y)) = 0
5((-56 + -28y) + 4y * (8 + 4y)) = 0
5(-56 + -28y + (8 * 4y + 4y * 4y)) = 0
5(-56 + -28y + (32y + 16y2)) = 0

Combine like terms: -28y + 32y = 4y
5(-56 + 4y + 16y2) = 0
(-56 * 5 + 4y * 5 + 16y2 * 5) = 0
(-280 + 20y + 80y2) = 0

Solving
-280 + 20y + 80y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '20'.
20(-14 + y + 4y2) = 0

Factor a trinomial.
20((-2 + -1y)(7 + -4y)) = 0

Ignore the factor 20.

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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