18v^2-21v-147=0

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Solution for 18v^2-21v-147=0 equation:


Simplifying
18v2 + -21v + -147 = 0

Reorder the terms:
-147 + -21v + 18v2 = 0

Solving
-147 + -21v + 18v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-49 + -7v + 6v2) = 0

Factor a trinomial.
3((-7 + -3v)(7 + -2v)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-7 + -3v)' equal to zero and attempt to solve: Simplifying -7 + -3v = 0 Solving -7 + -3v = 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 + -3v = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3v = 0 + 7 -3v = 0 + 7 Combine like terms: 0 + 7 = 7 -3v = 7 Divide each side by '-3'. v = -2.333333333 Simplifying v = -2.333333333

Subproblem 2

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

Solution

v = {-2.333333333, 3.5}

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