5(v+7)(-v+3)=

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Solution for 5(v+7)(-v+3)= equation: 


Simplifying
5(v + 7)(-1v + 3) = 0

Reorder the terms:
5(7 + v)(-1v + 3) = 0

Reorder the terms:
5(7 + v)(3 + -1v) = 0

Multiply (7 + v) * (3 + -1v)
5(7(3 + -1v) + v(3 + -1v)) = 0
5((3 * 7 + -1v * 7) + v(3 + -1v)) = 0
5((21 + -7v) + v(3 + -1v)) = 0
5(21 + -7v + (3 * v + -1v * v)) = 0
5(21 + -7v + (3v + -1v2)) = 0

Combine like terms: -7v + 3v = -4v
5(21 + -4v + -1v2) = 0
(21 * 5 + -4v * 5 + -1v2 * 5) = 0
(105 + -20v + -5v2) = 0

Solving
105 + -20v + -5v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '5'.
5(21 + -4v + -1v2) = 0

Factor a trinomial.
5((3 + -1v)(7 + v)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(3 + -1v)' equal to zero and attempt to solve:

Simplifying
3 + -1v = 0

Solving
3 + -1v = 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 + -1v = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1v = 0 + -3
-1v = 0 + -3

Combine like terms: 0 + -3 = -3
-1v = -3

Divide each side by '-1'.
v = 3

Simplifying
v = 3

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

Simplifying
7 + v = 0

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

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

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

Simplifying
v = -7
Solution
v = {3, -7}

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