v^2-8v-3=-3

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Solution for v^2-8v-3=-3 equation:


Simplifying
v2 + -8v + -3 = -3

Reorder the terms:
-3 + -8v + v2 = -3

Add '3' to each side of the equation.
-3 + -8v + 3 + v2 = -3 + 3

Reorder the terms:
-3 + 3 + -8v + v2 = -3 + 3

Combine like terms: -3 + 3 = 0
0 + -8v + v2 = -3 + 3
-8v + v2 = -3 + 3

Combine like terms: -3 + 3 = 0
-8v + v2 = 0

Solving
-8v + v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), 'v'.
v(-8 + 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 '(-8 + v)' equal to zero and attempt to solve: Simplifying -8 + v = 0 Solving -8 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + v = 0 + 8 Combine like terms: -8 + 8 = 0 0 + v = 0 + 8 v = 0 + 8 Combine like terms: 0 + 8 = 8 v = 8 Simplifying v = 8

Solution

v = {0, 8}

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