v(v-10)-11(v-10)=0

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Solution for v(v-10)-11(v-10)=0 equation:


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) = 0

Subproblem 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 = 10

Subproblem 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 = 11

Solution

v = {10, 11}

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