48-16e+e^2=0

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Solution for 48-16e+e^2=0 equation:


Simplifying
48 + -16e + e2 = 0

Solving
48 + -16e + e2 = 0

Solving for variable 'e'.

Factor a trinomial.
(4 + -1e)(12 + -1e) = 0

Subproblem 1

Set the factor '(4 + -1e)' equal to zero and attempt to solve: Simplifying 4 + -1e = 0 Solving 4 + -1e = 0 Move all terms containing e to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1e = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1e = 0 + -4 -1e = 0 + -4 Combine like terms: 0 + -4 = -4 -1e = -4 Divide each side by '-1'. e = 4 Simplifying e = 4

Subproblem 2

Set the factor '(12 + -1e)' equal to zero and attempt to solve: Simplifying 12 + -1e = 0 Solving 12 + -1e = 0 Move all terms containing e to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1e = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1e = 0 + -12 -1e = 0 + -12 Combine like terms: 0 + -12 = -12 -1e = -12 Divide each side by '-1'. e = 12 Simplifying e = 12

Solution

e = {4, 12}

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