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Simplifying v(v + -10) + -11(v + -10) = 0 Reorder the terms: v(-10 + v) + -11(v + -10) = 0 (-10 * v + v * v) + -11(v + -10) = 0 (-10v + v2) + -11(v + -10) = 0 Reorder the terms: -10v + v2 + -11(-10 + v) = 0 -10v + v2 + (-10 * -11 + v * -11) = 0 -10v + v2 + (110 + -11v) = 0 Reorder the terms: 110 + -10v + -11v + v2 = 0 Combine like terms: -10v + -11v = -21v 110 + -21v + v2 = 0 Solving 110 + -21v + v2 = 0 Solving for variable 'v'. Factor a trinomial. (10 + -1v)(11 + -1v) = 0Subproblem 1
Set the factor '(10 + -1v)' equal to zero and attempt to solve: Simplifying 10 + -1v = 0 Solving 10 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1v = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1v = 0 + -10 -1v = 0 + -10 Combine like terms: 0 + -10 = -10 -1v = -10 Divide each side by '-1'. v = 10 Simplifying v = 10Subproblem 2
Set the factor '(11 + -1v)' equal to zero and attempt to solve: Simplifying 11 + -1v = 0 Solving 11 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1v = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1v = 0 + -11 -1v = 0 + -11 Combine like terms: 0 + -11 = -11 -1v = -11 Divide each side by '-1'. v = 11 Simplifying v = 11Solution
v = {10, 11}
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