0=(v+4)(7v-8)

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Solution for 0=(v+4)(7v-8) equation: 


Simplifying
0 = (v + 4)(7v + -8)

Reorder the terms:
0 = (4 + v)(7v + -8)

Reorder the terms:
0 = (4 + v)(-8 + 7v)

Multiply (4 + v) * (-8 + 7v)
0 = (4(-8 + 7v) + v(-8 + 7v))
0 = ((-8 * 4 + 7v * 4) + v(-8 + 7v))
0 = ((-32 + 28v) + v(-8 + 7v))
0 = (-32 + 28v + (-8 * v + 7v * v))
0 = (-32 + 28v + (-8v + 7v2))

Combine like terms: 28v + -8v = 20v
0 = (-32 + 20v + 7v2)

Solving
0 = -32 + 20v + 7v2

Solving for variable 'v'.

Combine like terms: 0 + 32 = 32
32 + -20v + -7v2 = -32 + 20v + 7v2 + 32 + -20v + -7v2

Reorder the terms:
32 + -20v + -7v2 = -32 + 32 + 20v + -20v + 7v2 + -7v2

Combine like terms: -32 + 32 = 0
32 + -20v + -7v2 = 0 + 20v + -20v + 7v2 + -7v2
32 + -20v + -7v2 = 20v + -20v + 7v2 + -7v2

Combine like terms: 20v + -20v = 0
32 + -20v + -7v2 = 0 + 7v2 + -7v2
32 + -20v + -7v2 = 7v2 + -7v2

Combine like terms: 7v2 + -7v2 = 0
32 + -20v + -7v2 = 0

Factor a trinomial.
(8 + -7v)(4 + v) = 0


Subproblem 1
Set the factor '(8 + -7v)' equal to zero and attempt to solve:

Simplifying
8 + -7v = 0

Solving
8 + -7v = 0

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

Add '-8' to each side of the equation.
8 + -8 + -7v = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -7v = 0 + -8
-7v = 0 + -8

Combine like terms: 0 + -8 = -8
-7v = -8

Divide each side by '-7'.
v = 1.142857143

Simplifying
v = 1.142857143

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 = {1.142857143, -4}

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