(5v+2)(1+v)=0

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Solution for (5v+2)(1+v)=0 equation:


Simplifying
(5v + 2)(1 + v) = 0

Reorder the terms:
(2 + 5v)(1 + v) = 0

Multiply (2 + 5v) * (1 + v)
(2(1 + v) + 5v * (1 + v)) = 0
((1 * 2 + v * 2) + 5v * (1 + v)) = 0
((2 + 2v) + 5v * (1 + v)) = 0
(2 + 2v + (1 * 5v + v * 5v)) = 0
(2 + 2v + (5v + 5v2)) = 0

Combine like terms: 2v + 5v = 7v
(2 + 7v + 5v2) = 0

Solving
2 + 7v + 5v2 = 0

Solving for variable 'v'.

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

Subproblem 1

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

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 = {-1, -0.4}

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