8v^2-80v+200=

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Solution for 8v^2-80v+200= equation:


Simplifying
8v2 + -80v + 200 = 0

Reorder the terms:
200 + -80v + 8v2 = 0

Solving
200 + -80v + 8v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '8'.
8(25 + -10v + v2) = 0

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

Ignore the factor 8.

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 '(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 = {5, 5}

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