(4v+4)(3v+4)=

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Solution for (4v+4)(3v+4)= equation:


Simplifying
(4v + 4)(3v + 4) = 0

Reorder the terms:
(4 + 4v)(3v + 4) = 0

Reorder the terms:
(4 + 4v)(4 + 3v) = 0

Multiply (4 + 4v) * (4 + 3v)
(4(4 + 3v) + 4v * (4 + 3v)) = 0
((4 * 4 + 3v * 4) + 4v * (4 + 3v)) = 0
((16 + 12v) + 4v * (4 + 3v)) = 0
(16 + 12v + (4 * 4v + 3v * 4v)) = 0
(16 + 12v + (16v + 12v2)) = 0

Combine like terms: 12v + 16v = 28v
(16 + 28v + 12v2) = 0

Solving
16 + 28v + 12v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '4'.
4(4 + 7v + 3v2) = 0

Factor a trinomial.
4((4 + 3v)(1 + v)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(4 + 3v)' equal to zero and attempt to solve: Simplifying 4 + 3v = 0 Solving 4 + 3v = 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 + 3v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3v = 0 + -4 3v = 0 + -4 Combine like terms: 0 + -4 = -4 3v = -4 Divide each side by '3'. v = -1.333333333 Simplifying v = -1.333333333

Subproblem 2

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

Solution

v = {-1.333333333, -1}

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