(8v^2)-49v+2=(2v^2)-6

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Solution for (8v^2)-49v+2=(2v^2)-6 equation:


Simplifying
(8v2) + -49v + 2 = (2v2) + -6

Reorder the terms:
2 + -49v + (8v2) = (2v2) + -6

Reorder the terms:
2 + -49v + (8v2) = -6 + (2v2)

Solving
2 + -49v + (8v2) = -6 + (2v2)

Solving for variable 'v'.

Reorder the terms:
2 + 6 + -49v + (8v2) + (-2v2) = -6 + (2v2) + 6 + (-2v2)

Combine like terms: 2 + 6 = 8
8 + -49v + (8v2) + (-2v2) = -6 + (2v2) + 6 + (-2v2)

Combine like terms: (8v2) + (-2v2) = 6v2
8 + -49v + 6v2 = -6 + (2v2) + 6 + (-2v2)

Reorder the terms:
8 + -49v + 6v2 = -6 + 6 + (2v2) + (-2v2)

Combine like terms: -6 + 6 = 0
8 + -49v + 6v2 = 0 + (2v2) + (-2v2)
8 + -49v + 6v2 = (2v2) + (-2v2)

Combine like terms: (2v2) + (-2v2) = 0
8 + -49v + 6v2 = 0

Factor a trinomial.
(1 + -6v)(8 + -1v) = 0

Subproblem 1

Set the factor '(1 + -6v)' equal to zero and attempt to solve: Simplifying 1 + -6v = 0 Solving 1 + -6v = 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 + -6v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6v = 0 + -1 -6v = 0 + -1 Combine like terms: 0 + -1 = -1 -6v = -1 Divide each side by '-6'. v = 0.1666666667 Simplifying v = 0.1666666667

Subproblem 2

Set the factor '(8 + -1v)' equal to zero and attempt to solve: Simplifying 8 + -1v = 0 Solving 8 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1v = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1v = 0 + -8 -1v = 0 + -8 Combine like terms: 0 + -8 = -8 -1v = -8 Divide each side by '-1'. v = 8 Simplifying v = 8

Solution

v = {0.1666666667, 8}

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