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Simplifying (-1v2 + 8v + 1) + -1(5v2 + v + 1) = 0 Reorder the terms: (1 + 8v + -1v2) + -1(5v2 + v + 1) = 0 Remove parenthesis around (1 + 8v + -1v2) 1 + 8v + -1v2 + -1(5v2 + v + 1) = 0 Reorder the terms: 1 + 8v + -1v2 + -1(1 + v + 5v2) = 0 1 + 8v + -1v2 + (1 * -1 + v * -1 + 5v2 * -1) = 0 1 + 8v + -1v2 + (-1 + -1v + -5v2) = 0 Reorder the terms: 1 + -1 + 8v + -1v + -1v2 + -5v2 = 0 Combine like terms: 1 + -1 = 0 0 + 8v + -1v + -1v2 + -5v2 = 0 8v + -1v + -1v2 + -5v2 = 0 Combine like terms: 8v + -1v = 7v 7v + -1v2 + -5v2 = 0 Combine like terms: -1v2 + -5v2 = -6v2 7v + -6v2 = 0 Solving 7v + -6v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), 'v'. v(7 + -6v) = 0Subproblem 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 '(7 + -6v)' equal to zero and attempt to solve: Simplifying 7 + -6v = 0 Solving 7 + -6v = 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 + -6v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -6v = 0 + -7 -6v = 0 + -7 Combine like terms: 0 + -7 = -7 -6v = -7 Divide each side by '-6'. v = 1.166666667 Simplifying v = 1.166666667Solution
v = {0, 1.166666667}
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