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

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

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

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

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

Multiply (6 + 5v) * (-5 + 5v)
(6(-5 + 5v) + 5v * (-5 + 5v)) = 0
((-5 * 6 + 5v * 6) + 5v * (-5 + 5v)) = 0
((-30 + 30v) + 5v * (-5 + 5v)) = 0
(-30 + 30v + (-5 * 5v + 5v * 5v)) = 0
(-30 + 30v + (-25v + 25v2)) = 0

Combine like terms: 30v + -25v = 5v
(-30 + 5v + 25v2) = 0

Solving
-30 + 5v + 25v2 = 0

Solving for variable 'v'.

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

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

Ignore the factor 5.
Subproblem 1
Set the factor '(-6 + -5v)' equal to zero and attempt to solve:

Simplifying
-6 + -5v = 0

Solving
-6 + -5v = 0

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

Add '6' to each side of the equation.
-6 + 6 + -5v = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -5v = 0 + 6
-5v = 0 + 6

Combine like terms: 0 + 6 = 6
-5v = 6

Divide each side by '-5'.
v = -1.2

Simplifying
v = -1.2
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 = {-1.2, 1}