(7v+5)(-5v-4)=

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Solution for (7v+5)(-5v-4)= equation: 


Simplifying
(7v + 5)(-5v + -4) = 0

Reorder the terms:
(5 + 7v)(-5v + -4) = 0

Reorder the terms:
(5 + 7v)(-4 + -5v) = 0

Multiply (5 + 7v) * (-4 + -5v)
(5(-4 + -5v) + 7v * (-4 + -5v)) = 0
((-4 * 5 + -5v * 5) + 7v * (-4 + -5v)) = 0
((-20 + -25v) + 7v * (-4 + -5v)) = 0
(-20 + -25v + (-4 * 7v + -5v * 7v)) = 0
(-20 + -25v + (-28v + -35v2)) = 0

Combine like terms: -25v + -28v = -53v
(-20 + -53v + -35v2) = 0

Solving
-20 + -53v + -35v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(20 + 53v + 35v2) = 0

Factor a trinomial.
-1((4 + 5v)(5 + 7v)) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(4 + 5v)' equal to zero and attempt to solve:

Simplifying
4 + 5v = 0

Solving
4 + 5v = 0

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

Add '-4' to each side of the equation.
4 + -4 + 5v = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 5v = 0 + -4
5v = 0 + -4

Combine like terms: 0 + -4 = -4
5v = -4

Divide each side by '5'.
v = -0.8

Simplifying
v = -0.8

Subproblem 2
Set the factor '(5 + 7v)' equal to zero and attempt to solve:

Simplifying
5 + 7v = 0

Solving
5 + 7v = 0

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

Add '-5' to each side of the equation.
5 + -5 + 7v = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 7v = 0 + -5
7v = 0 + -5

Combine like terms: 0 + -5 = -5
7v = -5

Divide each side by '7'.
v = -0.7142857143

Simplifying
v = -0.7142857143
Solution
v = {-0.8, -0.7142857143}

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