(2v+7)(4v-6)=

Solution for (2v+7)(4v-6)= equation:

Simplifying
(2v + 7)(4v + -6) = 0

Reorder the terms:
(7 + 2v)(4v + -6) = 0

Reorder the terms:
(7 + 2v)(-6 + 4v) = 0

Multiply (7 + 2v) * (-6 + 4v)
(7(-6 + 4v) + 2v * (-6 + 4v)) = 0
((-6 * 7 + 4v * 7) + 2v * (-6 + 4v)) = 0
((-42 + 28v) + 2v * (-6 + 4v)) = 0
(-42 + 28v + (-6 * 2v + 4v * 2v)) = 0
(-42 + 28v + (-12v + 8v2)) = 0

Combine like terms: 28v + -12v = 16v
(-42 + 16v + 8v2) = 0

Solving
-42 + 16v + 8v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-21 + 8v + 4v2) = 0

Factor a trinomial.
2((-7 + -2v)(3 + -2v)) = 0

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

Simplifying
-7 + -2v = 0

Solving
-7 + -2v = 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 + -2v = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -2v = 0 + 7
-2v = 0 + 7

Combine like terms: 0 + 7 = 7
-2v = 7

Divide each side by '-2'.
v = -3.5

Simplifying
v = -3.5
Subproblem 2
Set the factor '(3 + -2v)' equal to zero and attempt to solve:

Simplifying
3 + -2v = 0

Solving
3 + -2v = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2v = 0 + -3

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

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

Divide each side by '-2'.
v = 1.5

Simplifying
v = 1.5
Solution
v = {-3.5, 1.5}