4v*v+16v=65

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Solution for 4v*v+16v=65 equation:


Simplifying
4v * v + 16v = 65

Multiply v * v
4v2 + 16v = 65

Reorder the terms:
16v + 4v2 = 65

Solving
16v + 4v2 = 65

Solving for variable 'v'.

Reorder the terms:
-65 + 16v + 4v2 = 65 + -65

Combine like terms: 65 + -65 = 0
-65 + 16v + 4v2 = 0

Factor a trinomial.
(-13 + -2v)(5 + -2v) = 0

Subproblem 1

Set the factor '(-13 + -2v)' equal to zero and attempt to solve: Simplifying -13 + -2v = 0 Solving -13 + -2v = 0 Move all terms containing v to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -2v = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -2v = 0 + 13 -2v = 0 + 13 Combine like terms: 0 + 13 = 13 -2v = 13 Divide each side by '-2'. v = -6.5 Simplifying v = -6.5

Subproblem 2

Set the factor '(5 + -2v)' equal to zero and attempt to solve: Simplifying 5 + -2v = 0 Solving 5 + -2v = 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 + -2v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2v = 0 + -5 -2v = 0 + -5 Combine like terms: 0 + -5 = -5 -2v = -5 Divide each side by '-2'. v = 2.5 Simplifying v = 2.5

Solution

v = {-6.5, 2.5}

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