v^2-14v=-48

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Solution for v^2-14v=-48 equation:


Simplifying
v2 + -14v = -48

Reorder the terms:
-14v + v2 = -48

Solving
-14v + v2 = -48

Solving for variable 'v'.

Reorder the terms:
48 + -14v + v2 = -48 + 48

Combine like terms: -48 + 48 = 0
48 + -14v + v2 = 0

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

Subproblem 1

Set the factor '(6 + -1v)' equal to zero and attempt to solve: Simplifying 6 + -1v = 0 Solving 6 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1v = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1v = 0 + -6 -1v = 0 + -6 Combine like terms: 0 + -6 = -6 -1v = -6 Divide each side by '-1'. v = 6 Simplifying v = 6

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 = {6, 8}

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