(10v+7)(3v-9)=0

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Solution for (10v+7)(3v-9)=0 equation: 


Simplifying
(10v + 7)(3v + -9) = 0

Reorder the terms:
(7 + 10v)(3v + -9) = 0

Reorder the terms:
(7 + 10v)(-9 + 3v) = 0

Multiply (7 + 10v) * (-9 + 3v)
(7(-9 + 3v) + 10v * (-9 + 3v)) = 0
((-9 * 7 + 3v * 7) + 10v * (-9 + 3v)) = 0
((-63 + 21v) + 10v * (-9 + 3v)) = 0
(-63 + 21v + (-9 * 10v + 3v * 10v)) = 0
(-63 + 21v + (-90v + 30v2)) = 0

Combine like terms: 21v + -90v = -69v
(-63 + -69v + 30v2) = 0

Solving
-63 + -69v + 30v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-21 + -23v + 10v2) = 0

Factor a trinomial.
3((-7 + -10v)(3 + -1v)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-7 + -10v)' equal to zero and attempt to solve:

Simplifying
-7 + -10v = 0

Solving
-7 + -10v = 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 + -10v = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -10v = 0 + 7
-10v = 0 + 7

Combine like terms: 0 + 7 = 7
-10v = 7

Divide each side by '-10'.
v = -0.7

Simplifying
v = -0.7

Subproblem 2
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
Solution
v = {-0.7, 3}

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