0=e-11e^3

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Solution for 0=e-11e^3 equation:


Simplifying
0 = e + -11e3

Solving
0 = e + -11e3

Solving for variable 'e'.
Remove the zero:
-1e + 11e3 = e + -11e3 + -1e + 11e3

Reorder the terms:
-1e + 11e3 = e + -1e + -11e3 + 11e3

Combine like terms: e + -1e = 0
-1e + 11e3 = 0 + -11e3 + 11e3
-1e + 11e3 = -11e3 + 11e3

Combine like terms: -11e3 + 11e3 = 0
-1e + 11e3 = 0

Factor out the Greatest Common Factor (GCF), 'e'.
e(-1 + 11e2) = 0

Subproblem 1

Set the factor 'e' equal to zero and attempt to solve: Simplifying e = 0 Solving e = 0 Move all terms containing e to the left, all other terms to the right. Simplifying e = 0

Subproblem 2

Set the factor '(-1 + 11e2)' equal to zero and attempt to solve: Simplifying -1 + 11e2 = 0 Solving -1 + 11e2 = 0 Move all terms containing e to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 11e2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 11e2 = 0 + 1 11e2 = 0 + 1 Combine like terms: 0 + 1 = 1 11e2 = 1 Divide each side by '11'. e2 = 0.09090909091 Simplifying e2 = 0.09090909091 Take the square root of each side: e = {-0.301511345, 0.301511345}

Solution

e = {0, -0.301511345, 0.301511345}

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