(v-8)(v+4)=

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Solution for (v-8)(v+4)= equation:


Simplifying
(v + -8)(v + 4) = 0

Reorder the terms:
(-8 + v)(v + 4) = 0

Reorder the terms:
(-8 + v)(4 + v) = 0

Multiply (-8 + v) * (4 + v)
(-8(4 + v) + v(4 + v)) = 0
((4 * -8 + v * -8) + v(4 + v)) = 0
((-32 + -8v) + v(4 + v)) = 0
(-32 + -8v + (4 * v + v * v)) = 0
(-32 + -8v + (4v + v2)) = 0

Combine like terms: -8v + 4v = -4v
(-32 + -4v + v2) = 0

Solving
-32 + -4v + v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-4 + -1v)(8 + -1v) = 0

Subproblem 1

Set the factor '(-4 + -1v)' equal to zero and attempt to solve: Simplifying -4 + -1v = 0 Solving -4 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1v = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1v = 0 + 4 -1v = 0 + 4 Combine like terms: 0 + 4 = 4 -1v = 4 Divide each side by '-1'. v = -4 Simplifying v = -4

Subproblem 2

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

Solution

v = {-4, 8}

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