(2v-5)(7v+1)=

Solution for (2v-5)(7v+1)= equation:

Simplifying
(2v + -5)(7v + 1) = 0

Reorder the terms:
(-5 + 2v)(7v + 1) = 0

Reorder the terms:
(-5 + 2v)(1 + 7v) = 0

Multiply (-5 + 2v) * (1 + 7v)
(-5(1 + 7v) + 2v * (1 + 7v)) = 0
((1 * -5 + 7v * -5) + 2v * (1 + 7v)) = 0
((-5 + -35v) + 2v * (1 + 7v)) = 0
(-5 + -35v + (1 * 2v + 7v * 2v)) = 0
(-5 + -35v + (2v + 14v2)) = 0

Combine like terms: -35v + 2v = -33v
(-5 + -33v + 14v2) = 0

Solving
-5 + -33v + 14v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-1 + -7v)(5 + -2v) = 0

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 '(5 + -2v)' equal to zero and attempt to solve:

Simplifying
5 + -2v = 0

Solving
5 + -2v = 0

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

Add '-5' to each side of the equation.
5 + -5 + -2v = 0 + -5

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

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

Divide each side by '-2'.
v = 2.5

Simplifying
v = 2.5
Solution
v = {-0.1428571429, 2.5}