(4v-28)(28v-4)=0

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Solution for (4v-28)(28v-4)=0 equation: 


Simplifying
(4v + -28)(28v + -4) = 0

Reorder the terms:
(-28 + 4v)(28v + -4) = 0

Reorder the terms:
(-28 + 4v)(-4 + 28v) = 0

Multiply (-28 + 4v) * (-4 + 28v)
(-28(-4 + 28v) + 4v * (-4 + 28v)) = 0
((-4 * -28 + 28v * -28) + 4v * (-4 + 28v)) = 0
((112 + -784v) + 4v * (-4 + 28v)) = 0
(112 + -784v + (-4 * 4v + 28v * 4v)) = 0
(112 + -784v + (-16v + 112v2)) = 0

Combine like terms: -784v + -16v = -800v
(112 + -800v + 112v2) = 0

Solving
112 + -800v + 112v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '16'.
16(7 + -50v + 7v2) = 0

Factor a trinomial.
16((1 + -7v)(7 + -1v)) = 0

Ignore the factor 16.

Subproblem 1
Set the factor '(1 + -7v)' equal to zero and attempt to solve:

Simplifying
1 + -7v = 0

Solving
1 + -7v = 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 + -7v = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -7v = 0 + -1
-7v = 0 + -1

Combine like terms: 0 + -1 = -1
-7v = -1

Divide each side by '-7'.
v = 0.1428571429

Simplifying
v = 0.1428571429

Subproblem 2
Set the factor '(7 + -1v)' equal to zero and attempt to solve:

Simplifying
7 + -1v = 0

Solving
7 + -1v = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1v = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1v = 0 + -7
-1v = 0 + -7

Combine like terms: 0 + -7 = -7
-1v = -7

Divide each side by '-1'.
v = 7

Simplifying
v = 7
Solution
v = {0.1428571429, 7}

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