2(v+7)(-v-4)=0

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Solution for 2(v+7)(-v-4)=0 equation: 


Simplifying
2(v + 7)(-1v + -4) = 0

Reorder the terms:
2(7 + v)(-1v + -4) = 0

Reorder the terms:
2(7 + v)(-4 + -1v) = 0

Multiply (7 + v) * (-4 + -1v)
2(7(-4 + -1v) + v(-4 + -1v)) = 0
2((-4 * 7 + -1v * 7) + v(-4 + -1v)) = 0
2((-28 + -7v) + v(-4 + -1v)) = 0
2(-28 + -7v + (-4 * v + -1v * v)) = 0
2(-28 + -7v + (-4v + -1v2)) = 0

Combine like terms: -7v + -4v = -11v
2(-28 + -11v + -1v2) = 0
(-28 * 2 + -11v * 2 + -1v2 * 2) = 0
(-56 + -22v + -2v2) = 0

Solving
-56 + -22v + -2v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '-2'.
-2(28 + 11v + v2) = 0

Factor a trinomial.
-2((7 + v)(4 + v)) = 0

Ignore the factor -2.

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

Simplifying
7 + v = 0

Solving
7 + v = 0

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

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

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

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

Simplifying
v = -7

Subproblem 2
Set the factor '(4 + v)' equal to zero and attempt to solve:

Simplifying
4 + v = 0

Solving
4 + v = 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 + v = 0 + -4

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

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

Simplifying
v = -4
Solution
v = {-7, -4}

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