(7+v)(3v-2)=0

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Solution for (7+v)(3v-2)=0 equation:


Simplifying
(7 + v)(3v + -2) = 0

Reorder the terms:
(7 + v)(-2 + 3v) = 0

Multiply (7 + v) * (-2 + 3v)
(7(-2 + 3v) + v(-2 + 3v)) = 0
((-2 * 7 + 3v * 7) + v(-2 + 3v)) = 0
((-14 + 21v) + v(-2 + 3v)) = 0
(-14 + 21v + (-2 * v + 3v * v)) = 0
(-14 + 21v + (-2v + 3v2)) = 0

Combine like terms: 21v + -2v = 19v
(-14 + 19v + 3v2) = 0

Solving
-14 + 19v + 3v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-7 + -1v)(2 + -3v) = 0

Subproblem 1

Set the factor '(-7 + -1v)' equal to zero and attempt to solve: Simplifying -7 + -1v = 0 Solving -7 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1v = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1v = 0 + 7 -1v = 0 + 7 Combine like terms: 0 + 7 = 7 -1v = 7 Divide each side by '-1'. v = -7 Simplifying v = -7

Subproblem 2

Set the factor '(2 + -3v)' equal to zero and attempt to solve: Simplifying 2 + -3v = 0 Solving 2 + -3v = 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 + -3v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3v = 0 + -2 -3v = 0 + -2 Combine like terms: 0 + -2 = -2 -3v = -2 Divide each side by '-3'. v = 0.6666666667 Simplifying v = 0.6666666667

Solution

v = {-7, 0.6666666667}

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