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Simplifying (3v5 + 8v3 + -10v2) + -1(-12v5 + 4v3 + 14v2) = 0 Reorder the terms: (-10v2 + 8v3 + 3v5) + -1(-12v5 + 4v3 + 14v2) = 0 Remove parenthesis around (-10v2 + 8v3 + 3v5) -10v2 + 8v3 + 3v5 + -1(-12v5 + 4v3 + 14v2) = 0 Reorder the terms: -10v2 + 8v3 + 3v5 + -1(14v2 + 4v3 + -12v5) = 0 -10v2 + 8v3 + 3v5 + (14v2 * -1 + 4v3 * -1 + -12v5 * -1) = 0 -10v2 + 8v3 + 3v5 + (-14v2 + -4v3 + 12v5) = 0 Reorder the terms: -10v2 + -14v2 + 8v3 + -4v3 + 3v5 + 12v5 = 0 Combine like terms: -10v2 + -14v2 = -24v2 -24v2 + 8v3 + -4v3 + 3v5 + 12v5 = 0 Combine like terms: 8v3 + -4v3 = 4v3 -24v2 + 4v3 + 3v5 + 12v5 = 0 Combine like terms: 3v5 + 12v5 = 15v5 -24v2 + 4v3 + 15v5 = 0 Solving -24v2 + 4v3 + 15v5 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), 'v2'. v2(-24 + 4v + 15v3) = 0Subproblem 1
Set the factor 'v2' equal to zero and attempt to solve: Simplifying v2 = 0 Solving v2 = 0 Move all terms containing v to the left, all other terms to the right. Simplifying v2 = 0 Take the square root of each side: v = {0}Subproblem 2
Set the factor '(-24 + 4v + 15v3)' equal to zero and attempt to solve: Simplifying -24 + 4v + 15v3 = 0 Solving -24 + 4v + 15v3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
v = {0}
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