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Simplifying (5v + -3) + -1(7v2 + -2v + -3) = 0 Reorder the terms: (-3 + 5v) + -1(7v2 + -2v + -3) = 0 Remove parenthesis around (-3 + 5v) -3 + 5v + -1(7v2 + -2v + -3) = 0 Reorder the terms: -3 + 5v + -1(-3 + -2v + 7v2) = 0 -3 + 5v + (-3 * -1 + -2v * -1 + 7v2 * -1) = 0 -3 + 5v + (3 + 2v + -7v2) = 0 Reorder the terms: -3 + 3 + 5v + 2v + -7v2 = 0 Combine like terms: -3 + 3 = 0 0 + 5v + 2v + -7v2 = 0 5v + 2v + -7v2 = 0 Combine like terms: 5v + 2v = 7v 7v + -7v2 = 0 Solving 7v + -7v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '7v'. 7v(1 + -1v) = 0 Ignore the factor 7.Subproblem 1
Set the factor 'v' equal to zero and attempt to solve: Simplifying v = 0 Solving v = 0 Move all terms containing v to the left, all other terms to the right. Simplifying v = 0Subproblem 2
Set the factor '(1 + -1v)' equal to zero and attempt to solve: Simplifying 1 + -1v = 0 Solving 1 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1v = 0 + -1 -1v = 0 + -1 Combine like terms: 0 + -1 = -1 -1v = -1 Divide each side by '-1'. v = 1 Simplifying v = 1Solution
v = {0, 1}
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