2v^2-5v=3

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Solution for 2v^2-5v=3 equation:


Simplifying
2v2 + -5v = 3

Reorder the terms:
-5v + 2v2 = 3

Solving
-5v + 2v2 = 3

Solving for variable 'v'.

Reorder the terms:
-3 + -5v + 2v2 = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + -5v + 2v2 = 0

Factor a trinomial.
(-1 + -2v)(3 + -1v) = 0

Subproblem 1

Set the factor '(-1 + -2v)' equal to zero and attempt to solve: Simplifying -1 + -2v = 0 Solving -1 + -2v = 0 Move all terms containing v to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -2v = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2v = 0 + 1 -2v = 0 + 1 Combine like terms: 0 + 1 = 1 -2v = 1 Divide each side by '-2'. v = -0.5 Simplifying v = -0.5

Subproblem 2

Set the factor '(3 + -1v)' equal to zero and attempt to solve: Simplifying 3 + -1v = 0 Solving 3 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1v = 0 + -3 -1v = 0 + -3 Combine like terms: 0 + -3 = -3 -1v = -3 Divide each side by '-1'. v = 3 Simplifying v = 3

Solution

v = {-0.5, 3}

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