36v^2-84v+49=0

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Solution for 36v^2-84v+49=0 equation:


Simplifying
36v2 + -84v + 49 = 0

Reorder the terms:
49 + -84v + 36v2 = 0

Solving
49 + -84v + 36v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(7 + -6v)(7 + -6v) = 0

Subproblem 1

Set the factor '(7 + -6v)' equal to zero and attempt to solve: Simplifying 7 + -6v = 0 Solving 7 + -6v = 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 + -6v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -6v = 0 + -7 -6v = 0 + -7 Combine like terms: 0 + -7 = -7 -6v = -7 Divide each side by '-6'. v = 1.166666667 Simplifying v = 1.166666667

Subproblem 2

Set the factor '(7 + -6v)' equal to zero and attempt to solve: Simplifying 7 + -6v = 0 Solving 7 + -6v = 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 + -6v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -6v = 0 + -7 -6v = 0 + -7 Combine like terms: 0 + -7 = -7 -6v = -7 Divide each side by '-6'. v = 1.166666667 Simplifying v = 1.166666667

Solution

v = {1.166666667, 1.166666667}

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