(13y+8)(y-3)=

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Solution for (13y+8)(y-3)= equation: 


Simplifying
(13y + 8)(y + -3) = 0

Reorder the terms:
(8 + 13y)(y + -3) = 0

Reorder the terms:
(8 + 13y)(-3 + y) = 0

Multiply (8 + 13y) * (-3 + y)
(8(-3 + y) + 13y * (-3 + y)) = 0
((-3 * 8 + y * 8) + 13y * (-3 + y)) = 0
((-24 + 8y) + 13y * (-3 + y)) = 0
(-24 + 8y + (-3 * 13y + y * 13y)) = 0
(-24 + 8y + (-39y + 13y2)) = 0

Combine like terms: 8y + -39y = -31y
(-24 + -31y + 13y2) = 0

Solving
-24 + -31y + 13y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-8 + -13y)(3 + -1y) = 0


Subproblem 1
Set the factor '(-8 + -13y)' equal to zero and attempt to solve:

Simplifying
-8 + -13y = 0

Solving
-8 + -13y = 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 + -13y = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -13y = 0 + 8
-13y = 0 + 8

Combine like terms: 0 + 8 = 8
-13y = 8

Divide each side by '-13'.
y = -0.6153846154

Simplifying
y = -0.6153846154

Subproblem 2
Set the factor '(3 + -1y)' equal to zero and attempt to solve:

Simplifying
3 + -1y = 0

Solving
3 + -1y = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1y = 0 + -3
-1y = 0 + -3

Combine like terms: 0 + -3 = -3
-1y = -3

Divide each side by '-1'.
y = 3

Simplifying
y = 3
Solution
y = {-0.6153846154, 3}

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