(5v-2)(6v-4)=0

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Solution for (5v-2)(6v-4)=0 equation: 


Simplifying
(5v + -2)(6v + -4) = 0

Reorder the terms:
(-2 + 5v)(6v + -4) = 0

Reorder the terms:
(-2 + 5v)(-4 + 6v) = 0

Multiply (-2 + 5v) * (-4 + 6v)
(-2(-4 + 6v) + 5v * (-4 + 6v)) = 0
((-4 * -2 + 6v * -2) + 5v * (-4 + 6v)) = 0
((8 + -12v) + 5v * (-4 + 6v)) = 0
(8 + -12v + (-4 * 5v + 6v * 5v)) = 0
(8 + -12v + (-20v + 30v2)) = 0

Combine like terms: -12v + -20v = -32v
(8 + -32v + 30v2) = 0

Solving
8 + -32v + 30v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + -16v + 15v2) = 0

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

Ignore the factor 2.

Subproblem 1
Set the factor '(2 + -5v)' equal to zero and attempt to solve:

Simplifying
2 + -5v = 0

Solving
2 + -5v = 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 + -5v = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5v = 0 + -2
-5v = 0 + -2

Combine like terms: 0 + -2 = -2
-5v = -2

Divide each side by '-5'.
v = 0.4

Simplifying
v = 0.4

Subproblem 2
Set the factor '(2 + -3v)' equal to zero and attempt to solve:

Simplifying
2 + -3v = 0

Solving
2 + -3v = 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 + -3v = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3v = 0 + -2
-3v = 0 + -2

Combine like terms: 0 + -2 = -2
-3v = -2

Divide each side by '-3'.
v = 0.6666666667

Simplifying
v = 0.6666666667
Solution
v = {0.4, 0.6666666667}

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