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

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


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

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

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

Multiply (-2 + -5y) * (7 + 2y)
(-2(7 + 2y) + -5y * (7 + 2y)) = 0
((7 * -2 + 2y * -2) + -5y * (7 + 2y)) = 0
((-14 + -4y) + -5y * (7 + 2y)) = 0
(-14 + -4y + (7 * -5y + 2y * -5y)) = 0
(-14 + -4y + (-35y + -10y2)) = 0

Combine like terms: -4y + -35y = -39y
(-14 + -39y + -10y2) = 0

Solving
-14 + -39y + -10y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(14 + 39y + 10y2) = 0

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

Ignore the factor -1.

Subproblem 1
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

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 = {-3.5, -0.4}

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