(2y+50)(5y-17)=

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Solution for (2y+50)(5y-17)= equation: 


Simplifying
(2y + 50)(5y + -17) = 0

Reorder the terms:
(50 + 2y)(5y + -17) = 0

Reorder the terms:
(50 + 2y)(-17 + 5y) = 0

Multiply (50 + 2y) * (-17 + 5y)
(50(-17 + 5y) + 2y * (-17 + 5y)) = 0
((-17 * 50 + 5y * 50) + 2y * (-17 + 5y)) = 0
((-850 + 250y) + 2y * (-17 + 5y)) = 0
(-850 + 250y + (-17 * 2y + 5y * 2y)) = 0
(-850 + 250y + (-34y + 10y2)) = 0

Combine like terms: 250y + -34y = 216y
(-850 + 216y + 10y2) = 0

Solving
-850 + 216y + 10y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-425 + 108y + 5y2) = 0

Factor a trinomial.
2((-25 + -1y)(17 + -5y)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-25 + -1y)' equal to zero and attempt to solve:

Simplifying
-25 + -1y = 0

Solving
-25 + -1y = 0

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

Add '25' to each side of the equation.
-25 + 25 + -1y = 0 + 25

Combine like terms: -25 + 25 = 0
0 + -1y = 0 + 25
-1y = 0 + 25

Combine like terms: 0 + 25 = 25
-1y = 25

Divide each side by '-1'.
y = -25

Simplifying
y = -25

Subproblem 2
Set the factor '(17 + -5y)' equal to zero and attempt to solve:

Simplifying
17 + -5y = 0

Solving
17 + -5y = 0

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

Add '-17' to each side of the equation.
17 + -17 + -5y = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -5y = 0 + -17
-5y = 0 + -17

Combine like terms: 0 + -17 = -17
-5y = -17

Divide each side by '-5'.
y = 3.4

Simplifying
y = 3.4
Solution
y = {-25, 3.4}

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