6(2v)=6v^2

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Solution for 6(2v)=6v^2 equation:


Simplifying
6(2v) = 6v2

Remove parenthesis around (2v)
6 * 2v = 6v2

Multiply 6 * 2
12v = 6v2

Solving
12v = 6v2

Solving for variable 'v'.

Combine like terms: 6v2 + -6v2 = 0
12v + -6v2 = 0

Factor out the Greatest Common Factor (GCF), '6v'.
6v(2 + -1v) = 0

Ignore the factor 6.

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 '(2 + -1v)' equal to zero and attempt to solve: Simplifying 2 + -1v = 0 Solving 2 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1v = 0 + -2 -1v = 0 + -2 Combine like terms: 0 + -2 = -2 -1v = -2 Divide each side by '-1'. v = 2 Simplifying v = 2

Solution

v = {0, 2}

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