v^3=49v

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Solution for v^3=49v equation:


Simplifying
v3 = 49v

Solving
v3 = 49v

Solving for variable 'v'.

Reorder the terms:
-49v + v3 = 49v + -49v

Combine like terms: 49v + -49v = 0
-49v + v3 = 0

Factor out the Greatest Common Factor (GCF), 'v'.
v(-49 + v2) = 0

Factor a difference between two squares.
v((7 + v)(-7 + 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 '(7 + v)' equal to zero and attempt to solve: Simplifying 7 + v = 0 Solving 7 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + v = 0 + -7 v = 0 + -7 Combine like terms: 0 + -7 = -7 v = -7 Simplifying v = -7

Subproblem 3

Set the factor '(-7 + v)' equal to zero and attempt to solve: Simplifying -7 + v = 0 Solving -7 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + v = 0 + 7 Combine like terms: -7 + 7 = 0 0 + v = 0 + 7 v = 0 + 7 Combine like terms: 0 + 7 = 7 v = 7 Simplifying v = 7

Solution

v = {0, -7, 7}

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