(4v-2)(5v+4)=

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Solution for (4v-2)(5v+4)= equation:


Simplifying
(4v + -2)(5v + 4) = 0

Reorder the terms:
(-2 + 4v)(5v + 4) = 0

Reorder the terms:
(-2 + 4v)(4 + 5v) = 0

Multiply (-2 + 4v) * (4 + 5v)
(-2(4 + 5v) + 4v * (4 + 5v)) = 0
((4 * -2 + 5v * -2) + 4v * (4 + 5v)) = 0
((-8 + -10v) + 4v * (4 + 5v)) = 0
(-8 + -10v + (4 * 4v + 5v * 4v)) = 0
(-8 + -10v + (16v + 20v2)) = 0

Combine like terms: -10v + 16v = 6v
(-8 + 6v + 20v2) = 0

Solving
-8 + 6v + 20v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-4 + 3v + 10v2) = 0

Factor a trinomial.
2((-4 + -5v)(1 + -2v)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-4 + -5v)' equal to zero and attempt to solve: Simplifying -4 + -5v = 0 Solving -4 + -5v = 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 + -5v = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -5v = 0 + 4 -5v = 0 + 4 Combine like terms: 0 + 4 = 4 -5v = 4 Divide each side by '-5'. v = -0.8 Simplifying v = -0.8

Subproblem 2

Set the factor '(1 + -2v)' equal to zero and attempt to solve: Simplifying 1 + -2v = 0 Solving 1 + -2v = 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 + -2v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2v = 0 + -1 -2v = 0 + -1 Combine like terms: 0 + -1 = -1 -2v = -1 Divide each side by '-2'. v = 0.5 Simplifying v = 0.5

Solution

v = {-0.8, 0.5}

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