(5v+4)(3v-6)=

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Solution for (5v+4)(3v-6)= equation:


Simplifying
(5v + 4)(3v + -6) = 0

Reorder the terms:
(4 + 5v)(3v + -6) = 0

Reorder the terms:
(4 + 5v)(-6 + 3v) = 0

Multiply (4 + 5v) * (-6 + 3v)
(4(-6 + 3v) + 5v * (-6 + 3v)) = 0
((-6 * 4 + 3v * 4) + 5v * (-6 + 3v)) = 0
((-24 + 12v) + 5v * (-6 + 3v)) = 0
(-24 + 12v + (-6 * 5v + 3v * 5v)) = 0
(-24 + 12v + (-30v + 15v2)) = 0

Combine like terms: 12v + -30v = -18v
(-24 + -18v + 15v2) = 0

Solving
-24 + -18v + 15v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-8 + -6v + 5v2) = 0

Factor a trinomial.
3((-4 + -5v)(2 + -1v)) = 0

Ignore the factor 3.

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 '(2 + -1v)' equal to zero and attempt to solve:

Simplifying
2 + -1v = 0

Solving
2 + -1v = 0

Move all terms containing v to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + -1v = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1v = 0 + -2
-1v = 0 + -2

Combine like terms: 0 + -2 = -2
-1v = -2

Divide each side by '-1'.
v = 2

Simplifying
v = 2
Solution
v = {-0.8, 2}

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