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

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


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

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

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

Multiply (-5 + v) * (7 + 2v)
(-5(7 + 2v) + v(7 + 2v)) = 0
((7 * -5 + 2v * -5) + v(7 + 2v)) = 0
((-35 + -10v) + v(7 + 2v)) = 0
(-35 + -10v + (7 * v + 2v * v)) = 0
(-35 + -10v + (7v + 2v2)) = 0

Combine like terms: -10v + 7v = -3v
(-35 + -3v + 2v2) = 0

Solving
-35 + -3v + 2v2 = 0

Solving for variable 'v'.

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


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 '(5 + -1v)' equal to zero and attempt to solve:

Simplifying
5 + -1v = 0

Solving
5 + -1v = 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 + -1v = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1v = 0 + -5
-1v = 0 + -5

Combine like terms: 0 + -5 = -5
-1v = -5

Divide each side by '-1'.
v = 5

Simplifying
v = 5
Solution
v = {-3.5, 5}

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