-(4v+4)(5v-8)=

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Solution for -(4v+4)(5v-8)= equation:


Simplifying
-1(4v + 4)(5v + -8) = 0

Reorder the terms:
-1(4 + 4v)(5v + -8) = 0

Reorder the terms:
-1(4 + 4v)(-8 + 5v) = 0

Multiply (4 + 4v) * (-8 + 5v)
-1(4(-8 + 5v) + 4v * (-8 + 5v)) = 0
-1((-8 * 4 + 5v * 4) + 4v * (-8 + 5v)) = 0
-1((-32 + 20v) + 4v * (-8 + 5v)) = 0
-1(-32 + 20v + (-8 * 4v + 5v * 4v)) = 0
-1(-32 + 20v + (-32v + 20v2)) = 0

Combine like terms: 20v + -32v = -12v
-1(-32 + -12v + 20v2) = 0
(-32 * -1 + -12v * -1 + 20v2 * -1) = 0
(32 + 12v + -20v2) = 0

Solving
32 + 12v + -20v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '4'.
4(8 + 3v + -5v2) = 0

Factor a trinomial.
4((8 + -5v)(1 + v)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(8 + -5v)' equal to zero and attempt to solve: Simplifying 8 + -5v = 0 Solving 8 + -5v = 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 + -5v = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5v = 0 + -8 -5v = 0 + -8 Combine like terms: 0 + -8 = -8 -5v = -8 Divide each side by '-5'. v = 1.6 Simplifying v = 1.6

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 = {1.6, -1}

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