(7y+10)(6y+7)=0

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Solution for (7y+10)(6y+7)=0 equation: 


Simplifying
(7y + 10)(6y + 7) = 0

Reorder the terms:
(10 + 7y)(6y + 7) = 0

Reorder the terms:
(10 + 7y)(7 + 6y) = 0

Multiply (10 + 7y) * (7 + 6y)
(10(7 + 6y) + 7y * (7 + 6y)) = 0
((7 * 10 + 6y * 10) + 7y * (7 + 6y)) = 0
((70 + 60y) + 7y * (7 + 6y)) = 0
(70 + 60y + (7 * 7y + 6y * 7y)) = 0
(70 + 60y + (49y + 42y2)) = 0

Combine like terms: 60y + 49y = 109y
(70 + 109y + 42y2) = 0

Solving
70 + 109y + 42y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(10 + 7y)(7 + 6y) = 0


Subproblem 1
Set the factor '(10 + 7y)' equal to zero and attempt to solve:

Simplifying
10 + 7y = 0

Solving
10 + 7y = 0

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

Add '-10' to each side of the equation.
10 + -10 + 7y = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 7y = 0 + -10
7y = 0 + -10

Combine like terms: 0 + -10 = -10
7y = -10

Divide each side by '7'.
y = -1.428571429

Simplifying
y = -1.428571429

Subproblem 2
Set the factor '(7 + 6y)' equal to zero and attempt to solve:

Simplifying
7 + 6y = 0

Solving
7 + 6y = 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 + 6y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 6y = 0 + -7
6y = 0 + -7

Combine like terms: 0 + -7 = -7
6y = -7

Divide each side by '6'.
y = -1.166666667

Simplifying
y = -1.166666667
Solution
y = {-1.428571429, -1.166666667}

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