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

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Solution for (7v-2)(v+7)=0 equation: 


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

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

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

Multiply (-2 + 7v) * (7 + v)
(-2(7 + v) + 7v * (7 + v)) = 0
((7 * -2 + v * -2) + 7v * (7 + v)) = 0
((-14 + -2v) + 7v * (7 + v)) = 0
(-14 + -2v + (7 * 7v + v * 7v)) = 0
(-14 + -2v + (49v + 7v2)) = 0

Combine like terms: -2v + 49v = 47v
(-14 + 47v + 7v2) = 0

Solving
-14 + 47v + 7v2 = 0

Solving for variable 'v'.

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


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

Simplifying
-7 + -1v = 0

Solving
-7 + -1v = 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 + -1v = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1v = 0 + 7
-1v = 0 + 7

Combine like terms: 0 + 7 = 7
-1v = 7

Divide each side by '-1'.
v = -7

Simplifying
v = -7

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

Simplifying
2 + -7v = 0

Solving
2 + -7v = 0

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

Add '-2' to each side of the equation.
2 + -2 + -7v = 0 + -2

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

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

Divide each side by '-7'.
v = 0.2857142857

Simplifying
v = 0.2857142857
Solution
v = {-7, 0.2857142857}

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