(6y+25)(6y+23)=0

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Solution for (6y+25)(6y+23)=0 equation: 


Simplifying
(6y + 25)(6y + 23) = 0

Reorder the terms:
(25 + 6y)(6y + 23) = 0

Reorder the terms:
(25 + 6y)(23 + 6y) = 0

Multiply (25 + 6y) * (23 + 6y)
(25(23 + 6y) + 6y * (23 + 6y)) = 0
((23 * 25 + 6y * 25) + 6y * (23 + 6y)) = 0
((575 + 150y) + 6y * (23 + 6y)) = 0
(575 + 150y + (23 * 6y + 6y * 6y)) = 0
(575 + 150y + (138y + 36y2)) = 0

Combine like terms: 150y + 138y = 288y
(575 + 288y + 36y2) = 0

Solving
575 + 288y + 36y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(25 + 6y)(23 + 6y) = 0


Subproblem 1
Set the factor '(25 + 6y)' equal to zero and attempt to solve:

Simplifying
25 + 6y = 0

Solving
25 + 6y = 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 + 6y = 0 + -25

Combine like terms: 25 + -25 = 0
0 + 6y = 0 + -25
6y = 0 + -25

Combine like terms: 0 + -25 = -25
6y = -25

Divide each side by '6'.
y = -4.166666667

Simplifying
y = -4.166666667

Subproblem 2
Set the factor '(23 + 6y)' equal to zero and attempt to solve:

Simplifying
23 + 6y = 0

Solving
23 + 6y = 0

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

Add '-23' to each side of the equation.
23 + -23 + 6y = 0 + -23

Combine like terms: 23 + -23 = 0
0 + 6y = 0 + -23
6y = 0 + -23

Combine like terms: 0 + -23 = -23
6y = -23

Divide each side by '6'.
y = -3.833333333

Simplifying
y = -3.833333333
Solution
y = {-4.166666667, -3.833333333}

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