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

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


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

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

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

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

Combine like terms: -24v + -30v = -54v
(24 + -54v + 30v2) = 0

Solving
24 + -54v + 30v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '6'.
6(4 + -9v + 5v2) = 0

Factor a trinomial.
6((4 + -5v)(1 + -1v)) = 0

Ignore the factor 6.

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

Simplifying
1 + -1v = 0

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

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

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

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

Simplifying
v = 1
Solution
v = {0.8, 1}

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