(5y+2)(4y-8)=

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Solution for (5y+2)(4y-8)= equation: 


Simplifying
(5y + 2)(4y + -8) = 0

Reorder the terms:
(2 + 5y)(4y + -8) = 0

Reorder the terms:
(2 + 5y)(-8 + 4y) = 0

Multiply (2 + 5y) * (-8 + 4y)
(2(-8 + 4y) + 5y * (-8 + 4y)) = 0
((-8 * 2 + 4y * 2) + 5y * (-8 + 4y)) = 0
((-16 + 8y) + 5y * (-8 + 4y)) = 0
(-16 + 8y + (-8 * 5y + 4y * 5y)) = 0
(-16 + 8y + (-40y + 20y2)) = 0

Combine like terms: 8y + -40y = -32y
(-16 + -32y + 20y2) = 0

Solving
-16 + -32y + 20y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-4 + -8y + 5y2) = 0

Factor a trinomial.
4((-2 + -5y)(2 + -1y)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-2 + -5y)' equal to zero and attempt to solve:

Simplifying
-2 + -5y = 0

Solving
-2 + -5y = 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 + -5y = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -5y = 0 + 2
-5y = 0 + 2

Combine like terms: 0 + 2 = 2
-5y = 2

Divide each side by '-5'.
y = -0.4

Simplifying
y = -0.4

Subproblem 2
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
Solution
y = {-0.4, 2}

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