25v^2-20v+4=0

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Solution for 25v^2-20v+4=0 equation:


Simplifying
25v2 + -20v + 4 = 0

Reorder the terms:
4 + -20v + 25v2 = 0

Solving
4 + -20v + 25v2 = 0

Solving for variable 'v'.

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

Subproblem 1

Set the factor '(2 + -5v)' equal to zero and attempt to solve: Simplifying 2 + -5v = 0 Solving 2 + -5v = 0 Move all terms containing v to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5v = 0 + -2 -5v = 0 + -2 Combine like terms: 0 + -2 = -2 -5v = -2 Divide each side by '-5'. v = 0.4 Simplifying v = 0.4

Subproblem 2

Set the factor '(2 + -5v)' equal to zero and attempt to solve: Simplifying 2 + -5v = 0 Solving 2 + -5v = 0 Move all terms containing v to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5v = 0 + -2 -5v = 0 + -2 Combine like terms: 0 + -2 = -2 -5v = -2 Divide each side by '-5'. v = 0.4 Simplifying v = 0.4

Solution

v = {0.4, 0.4}

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