(-5y-2)(6y+7)=

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Solution for (-5y-2)(6y+7)= equation: 


Simplifying
(-5y + -2)(6y + 7) = 0

Reorder the terms:
(-2 + -5y)(6y + 7) = 0

Reorder the terms:
(-2 + -5y)(7 + 6y) = 0

Multiply (-2 + -5y) * (7 + 6y)
(-2(7 + 6y) + -5y * (7 + 6y)) = 0
((7 * -2 + 6y * -2) + -5y * (7 + 6y)) = 0
((-14 + -12y) + -5y * (7 + 6y)) = 0
(-14 + -12y + (7 * -5y + 6y * -5y)) = 0
(-14 + -12y + (-35y + -30y2)) = 0

Combine like terms: -12y + -35y = -47y
(-14 + -47y + -30y2) = 0

Solving
-14 + -47y + -30y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(14 + 47y + 30y2) = 0

Factor a trinomial.
-1((7 + 6y)(2 + 5y)) = 0

Ignore the factor -1.

Subproblem 1
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

Subproblem 2
Set the factor '(2 + 5y)' equal to zero and attempt to solve:

Simplifying
2 + 5y = 0

Solving
2 + 5y = 0

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

Add '-2' to each side of the equation.
2 + -2 + 5y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 5y = 0 + -2
5y = 0 + -2

Combine like terms: 0 + -2 = -2
5y = -2

Divide each side by '5'.
y = -0.4

Simplifying
y = -0.4
Solution
y = {-1.166666667, -0.4}

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