-3(v-8)(-v+5)=0

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Solution for -3(v-8)(-v+5)=0 equation:


Simplifying
-3(v + -8)(-1v + 5) = 0

Reorder the terms:
-3(-8 + v)(-1v + 5) = 0

Reorder the terms:
-3(-8 + v)(5 + -1v) = 0

Multiply (-8 + v) * (5 + -1v)
-3(-8(5 + -1v) + v(5 + -1v)) = 0
-3((5 * -8 + -1v * -8) + v(5 + -1v)) = 0
-3((-40 + 8v) + v(5 + -1v)) = 0
-3(-40 + 8v + (5 * v + -1v * v)) = 0
-3(-40 + 8v + (5v + -1v2)) = 0

Combine like terms: 8v + 5v = 13v
-3(-40 + 13v + -1v2) = 0
(-40 * -3 + 13v * -3 + -1v2 * -3) = 0
(120 + -39v + 3v2) = 0

Solving
120 + -39v + 3v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '3'.
3(40 + -13v + v2) = 0

Factor a trinomial.
3((5 + -1v)(8 + -1v)) = 0

Ignore the factor 3.

Subproblem 1

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

Subproblem 2

Set the factor '(8 + -1v)' equal to zero and attempt to solve: Simplifying 8 + -1v = 0 Solving 8 + -1v = 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 + -1v = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1v = 0 + -8 -1v = 0 + -8 Combine like terms: 0 + -8 = -8 -1v = -8 Divide each side by '-1'. v = 8 Simplifying v = 8

Solution

v = {5, 8}

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