5v^2-16=16v

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Solution for 5v^2-16=16v equation:


Simplifying
5v2 + -16 = 16v

Reorder the terms:
-16 + 5v2 = 16v

Solving
-16 + 5v2 = 16v

Solving for variable 'v'.

Reorder the terms:
-16 + -16v + 5v2 = 16v + -16v

Combine like terms: 16v + -16v = 0
-16 + -16v + 5v2 = 0

Factor a trinomial.
(-4 + -5v)(4 + -1v) = 0

Subproblem 1

Set the factor '(-4 + -5v)' equal to zero and attempt to solve: Simplifying -4 + -5v = 0 Solving -4 + -5v = 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 + -5v = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -5v = 0 + 4 -5v = 0 + 4 Combine like terms: 0 + 4 = 4 -5v = 4 Divide each side by '-5'. v = -0.8 Simplifying v = -0.8

Subproblem 2

Set the factor '(4 + -1v)' equal to zero and attempt to solve: Simplifying 4 + -1v = 0 Solving 4 + -1v = 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 + -1v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1v = 0 + -4 -1v = 0 + -4 Combine like terms: 0 + -4 = -4 -1v = -4 Divide each side by '-1'. v = 4 Simplifying v = 4

Solution

v = {-0.8, 4}

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