(v^2-10v+21)(3v+21)=0

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Solution for (v^2-10v+21)(3v+21)=0 equation: 


Simplifying
(v2 + -10v + 21)(3v + 21) = 0

Reorder the terms:
(21 + -10v + v2)(3v + 21) = 0

Reorder the terms:
(21 + -10v + v2)(21 + 3v) = 0

Multiply (21 + -10v + v2) * (21 + 3v)
(21(21 + 3v) + -10v * (21 + 3v) + v2(21 + 3v)) = 0
((21 * 21 + 3v * 21) + -10v * (21 + 3v) + v2(21 + 3v)) = 0
((441 + 63v) + -10v * (21 + 3v) + v2(21 + 3v)) = 0
(441 + 63v + (21 * -10v + 3v * -10v) + v2(21 + 3v)) = 0
(441 + 63v + (-210v + -30v2) + v2(21 + 3v)) = 0
(441 + 63v + -210v + -30v2 + (21 * v2 + 3v * v2)) = 0
(441 + 63v + -210v + -30v2 + (21v2 + 3v3)) = 0

Combine like terms: 63v + -210v = -147v
(441 + -147v + -30v2 + 21v2 + 3v3) = 0

Combine like terms: -30v2 + 21v2 = -9v2
(441 + -147v + -9v2 + 3v3) = 0

Solving
441 + -147v + -9v2 + 3v3 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '3'.
3(147 + -49v + -3v2 + v3) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(147 + -49v + -3v2 + v3)' equal to zero and attempt to solve:

Simplifying
147 + -49v + -3v2 + v3 = 0

Solving
147 + -49v + -3v2 + v3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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