6(v-5)(5v+8)=0

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Solution for 6(v-5)(5v+8)=0 equation: 


Simplifying
6(v + -5)(5v + 8) = 0

Reorder the terms:
6(-5 + v)(5v + 8) = 0

Reorder the terms:
6(-5 + v)(8 + 5v) = 0

Multiply (-5 + v) * (8 + 5v)
6(-5(8 + 5v) + v(8 + 5v)) = 0
6((8 * -5 + 5v * -5) + v(8 + 5v)) = 0
6((-40 + -25v) + v(8 + 5v)) = 0
6(-40 + -25v + (8 * v + 5v * v)) = 0
6(-40 + -25v + (8v + 5v2)) = 0

Combine like terms: -25v + 8v = -17v
6(-40 + -17v + 5v2) = 0
(-40 * 6 + -17v * 6 + 5v2 * 6) = 0
(-240 + -102v + 30v2) = 0

Solving
-240 + -102v + 30v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-40 + -17v + 5v2) = 0

Factor a trinomial.
6((-8 + -5v)(5 + -1v)) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(-8 + -5v)' equal to zero and attempt to solve:

Simplifying
-8 + -5v = 0

Solving
-8 + -5v = 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 + -5v = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -5v = 0 + 8
-5v = 0 + 8

Combine like terms: 0 + 8 = 8
-5v = 8

Divide each side by '-5'.
v = -1.6

Simplifying
v = -1.6

Subproblem 2
Set the factor '(5 + -1v)' equal to zero and attempt to solve:

Simplifying
5 + -1v = 0

Solving
5 + -1v = 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 + -1v = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1v = 0 + -5
-1v = 0 + -5

Combine like terms: 0 + -5 = -5
-1v = -5

Divide each side by '-1'.
v = 5

Simplifying
v = 5
Solution
v = {-1.6, 5}

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