(7-v)(3v+8)=0

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Solution for (7-v)(3v+8)=0 equation:


Simplifying
(7 + -1v)(3v + 8) = 0

Reorder the terms:
(7 + -1v)(8 + 3v) = 0

Multiply (7 + -1v) * (8 + 3v)
(7(8 + 3v) + -1v * (8 + 3v)) = 0
((8 * 7 + 3v * 7) + -1v * (8 + 3v)) = 0
((56 + 21v) + -1v * (8 + 3v)) = 0
(56 + 21v + (8 * -1v + 3v * -1v)) = 0
(56 + 21v + (-8v + -3v2)) = 0

Combine like terms: 21v + -8v = 13v
(56 + 13v + -3v2) = 0

Solving
56 + 13v + -3v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(7 + -1v)(8 + 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 '(8 + 3v)' equal to zero and attempt to solve: Simplifying 8 + 3v = 0 Solving 8 + 3v = 0 Move all terms containing v to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 3v = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3v = 0 + -8 3v = 0 + -8 Combine like terms: 0 + -8 = -8 3v = -8 Divide each side by '3'. v = -2.666666667 Simplifying v = -2.666666667

Solution

v = {7, -2.666666667}

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