49v^2-14v+1=0

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Solution for 49v^2-14v+1=0 equation:


Simplifying
49v2 + -14v + 1 = 0

Reorder the terms:
1 + -14v + 49v2 = 0

Solving
1 + -14v + 49v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(1 + -7v)(1 + -7v) = 0

Subproblem 1

Set the factor '(1 + -7v)' equal to zero and attempt to solve: Simplifying 1 + -7v = 0 Solving 1 + -7v = 0 Move all terms containing v to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -7v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7v = 0 + -1 -7v = 0 + -1 Combine like terms: 0 + -1 = -1 -7v = -1 Divide each side by '-7'. v = 0.1428571429 Simplifying v = 0.1428571429

Subproblem 2

Set the factor '(1 + -7v)' equal to zero and attempt to solve: Simplifying 1 + -7v = 0 Solving 1 + -7v = 0 Move all terms containing v to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -7v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7v = 0 + -1 -7v = 0 + -1 Combine like terms: 0 + -1 = -1 -7v = -1 Divide each side by '-7'. v = 0.1428571429 Simplifying v = 0.1428571429

Solution

v = {0.1428571429, 0.1428571429}

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