v^2-6vx+9x^2=0

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Solution for v^2-6vx+9x^2=0 equation:


Simplifying
v2 + -6vx + 9x2 = 0

Reorder the terms:
-6vx + v2 + 9x2 = 0

Solving
-6vx + v2 + 9x2 = 0

Solving for variable 'v'.

Factor a trinomial.
(v + -3x)(v + -3x) = 0

Subproblem 1

Set the factor '(v + -3x)' equal to zero and attempt to solve: Simplifying v + -3x = 0 Solving v + -3x = 0 Move all terms containing v to the left, all other terms to the right. Add '3x' to each side of the equation. v + -3x + 3x = 0 + 3x Combine like terms: -3x + 3x = 0 v + 0 = 0 + 3x v = 0 + 3x Remove the zero: v = 3x Simplifying v = 3x

Subproblem 2

Set the factor '(v + -3x)' equal to zero and attempt to solve: Simplifying v + -3x = 0 Solving v + -3x = 0 Move all terms containing v to the left, all other terms to the right. Add '3x' to each side of the equation. v + -3x + 3x = 0 + 3x Combine like terms: -3x + 3x = 0 v + 0 = 0 + 3x v = 0 + 3x Remove the zero: v = 3x Simplifying v = 3x

Solution

v = {3x, 3x}

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