(v+8)(v-5)=0

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Solution for (v+8)(v-5)=0 equation:


Simplifying
(v + 8)(v + -5) = 0

Reorder the terms:
(8 + v)(v + -5) = 0

Reorder the terms:
(8 + v)(-5 + v) = 0

Multiply (8 + v) * (-5 + v)
(8(-5 + v) + v(-5 + v)) = 0
((-5 * 8 + v * 8) + v(-5 + v)) = 0
((-40 + 8v) + v(-5 + v)) = 0
(-40 + 8v + (-5 * v + v * v)) = 0
(-40 + 8v + (-5v + v2)) = 0

Combine like terms: 8v + -5v = 3v
(-40 + 3v + v2) = 0

Solving
-40 + 3v + v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-8 + -1v)(5 + -1v) = 0

Subproblem 1

Set the factor '(-8 + -1v)' equal to zero and attempt to solve: Simplifying -8 + -1v = 0 Solving -8 + -1v = 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 + -1v = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1v = 0 + 8 -1v = 0 + 8 Combine like terms: 0 + 8 = 8 -1v = 8 Divide each side by '-1'. v = -8 Simplifying v = -8

Subproblem 2

Set the factor '(5 + -1v)' equal to zero and attempt to solve: Simplifying 5 + -1v = 0 Solving 5 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1v = 0 + -5 -1v = 0 + -5 Combine like terms: 0 + -5 = -5 -1v = -5 Divide each side by '-1'. v = 5 Simplifying v = 5

Solution

v = {-8, 5}

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