(v+8)(v+11)=

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Solution for (v+8)(v+11)= equation:


Simplifying
(v + 8)(v + 11) = 0

Reorder the terms:
(8 + v)(v + 11) = 0

Reorder the terms:
(8 + v)(11 + v) = 0

Multiply (8 + v) * (11 + v)
(8(11 + v) + v(11 + v)) = 0
((11 * 8 + v * 8) + v(11 + v)) = 0
((88 + 8v) + v(11 + v)) = 0
(88 + 8v + (11 * v + v * v)) = 0
(88 + 8v + (11v + v2)) = 0

Combine like terms: 8v + 11v = 19v
(88 + 19v + v2) = 0

Solving
88 + 19v + v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(11 + v)(8 + v) = 0

Subproblem 1

Set the factor '(11 + v)' equal to zero and attempt to solve: Simplifying 11 + v = 0 Solving 11 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + v = 0 + -11 Combine like terms: 11 + -11 = 0 0 + v = 0 + -11 v = 0 + -11 Combine like terms: 0 + -11 = -11 v = -11 Simplifying v = -11

Subproblem 2

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

Solution

v = {-11, -8}

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