(6y+25)(2y+7)=0

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Solution for (6y+25)(2y+7)=0 equation: 


Simplifying
(6y + 25)(2y + 7) = 0

Reorder the terms:
(25 + 6y)(2y + 7) = 0

Reorder the terms:
(25 + 6y)(7 + 2y) = 0

Multiply (25 + 6y) * (7 + 2y)
(25(7 + 2y) + 6y * (7 + 2y)) = 0
((7 * 25 + 2y * 25) + 6y * (7 + 2y)) = 0
((175 + 50y) + 6y * (7 + 2y)) = 0
(175 + 50y + (7 * 6y + 2y * 6y)) = 0
(175 + 50y + (42y + 12y2)) = 0

Combine like terms: 50y + 42y = 92y
(175 + 92y + 12y2) = 0

Solving
175 + 92y + 12y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(25 + 6y)(7 + 2y) = 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 '(7 + 2y)' equal to zero and attempt to solve:

Simplifying
7 + 2y = 0

Solving
7 + 2y = 0

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

Add '-7' to each side of the equation.
7 + -7 + 2y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2y = 0 + -7
2y = 0 + -7

Combine like terms: 0 + -7 = -7
2y = -7

Divide each side by '2'.
y = -3.5

Simplifying
y = -3.5
Solution
y = {-4.166666667, -3.5}

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