4v^2=20v-25

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Solution for 4v^2=20v-25 equation:


Simplifying
4v2 = 20v + -25

Reorder the terms:
4v2 = -25 + 20v

Solving
4v2 = -25 + 20v

Solving for variable 'v'.

Reorder the terms:
25 + -20v + 4v2 = -25 + 20v + 25 + -20v

Reorder the terms:
25 + -20v + 4v2 = -25 + 25 + 20v + -20v

Combine like terms: -25 + 25 = 0
25 + -20v + 4v2 = 0 + 20v + -20v
25 + -20v + 4v2 = 20v + -20v

Combine like terms: 20v + -20v = 0
25 + -20v + 4v2 = 0

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

Subproblem 1

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

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 = {2.5, 2.5}

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