v^2-v-3=-3

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Solution for v^2-v-3=-3 equation:


Simplifying
v2 + -1v + -3 = -3

Reorder the terms:
-3 + -1v + v2 = -3

Add '3' to each side of the equation.
-3 + -1v + 3 + v2 = -3 + 3

Reorder the terms:
-3 + 3 + -1v + v2 = -3 + 3

Combine like terms: -3 + 3 = 0
0 + -1v + v2 = -3 + 3
-1v + v2 = -3 + 3

Combine like terms: -3 + 3 = 0
-1v + v2 = 0

Solving
-1v + v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), 'v'.
v(-1 + v) = 0

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 = 0

Subproblem 2

Set the factor '(-1 + v)' equal to zero and attempt to solve: Simplifying -1 + v = 0 Solving -1 + v = 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 + v = 0 + 1 Combine like terms: -1 + 1 = 0 0 + v = 0 + 1 v = 0 + 1 Combine like terms: 0 + 1 = 1 v = 1 Simplifying v = 1

Solution

v = {0, 1}

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