(v-2)(v-2)=

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Solution for (v-2)(v-2)= equation:


Simplifying
(v + -2)(v + -2) = 0

Reorder the terms:
(-2 + v)(v + -2) = 0

Reorder the terms:
(-2 + v)(-2 + v) = 0

Multiply (-2 + v) * (-2 + v)
(-2(-2 + v) + v(-2 + v)) = 0
((-2 * -2 + v * -2) + v(-2 + v)) = 0
((4 + -2v) + v(-2 + v)) = 0
(4 + -2v + (-2 * v + v * v)) = 0
(4 + -2v + (-2v + v2)) = 0

Combine like terms: -2v + -2v = -4v
(4 + -4v + v2) = 0

Solving
4 + -4v + v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(2 + -1v)(2 + -1v) = 0

Subproblem 1

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

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 = {2, 2}

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