36(y+8)(y-17)=0

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Solution for 36(y+8)(y-17)=0 equation: 


Simplifying
36(y + 8)(y + -17) = 0

Reorder the terms:
36(8 + y)(y + -17) = 0

Reorder the terms:
36(8 + y)(-17 + y) = 0

Multiply (8 + y) * (-17 + y)
36(8(-17 + y) + y(-17 + y)) = 0
36((-17 * 8 + y * 8) + y(-17 + y)) = 0
36((-136 + 8y) + y(-17 + y)) = 0
36(-136 + 8y + (-17 * y + y * y)) = 0
36(-136 + 8y + (-17y + y2)) = 0

Combine like terms: 8y + -17y = -9y
36(-136 + -9y + y2) = 0
(-136 * 36 + -9y * 36 + y2 * 36) = 0
(-4896 + -324y + 36y2) = 0

Solving
-4896 + -324y + 36y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '36'.
36(-136 + -9y + y2) = 0

Factor a trinomial.
36((-8 + -1y)(17 + -1y)) = 0

Ignore the factor 36.

Subproblem 1
Set the factor '(-8 + -1y)' equal to zero and attempt to solve:

Simplifying
-8 + -1y = 0

Solving
-8 + -1y = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1y = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1y = 0 + 8
-1y = 0 + 8

Combine like terms: 0 + 8 = 8
-1y = 8

Divide each side by '-1'.
y = -8

Simplifying
y = -8

Subproblem 2
Set the factor '(17 + -1y)' equal to zero and attempt to solve:

Simplifying
17 + -1y = 0

Solving
17 + -1y = 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 + -1y = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -1y = 0 + -17
-1y = 0 + -17

Combine like terms: 0 + -17 = -17
-1y = -17

Divide each side by '-1'.
y = 17

Simplifying
y = 17
Solution
y = {-8, 17}

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