e(e+2)+3e=

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Solution for e(e+2)+3e= equation:


Simplifying
e(e + 2) + 3e = 0

Reorder the terms:
e(2 + e) + 3e = 0
(2 * e + e * e) + 3e = 0
(2e + e2) + 3e = 0

Reorder the terms:
2e + 3e + e2 = 0

Combine like terms: 2e + 3e = 5e
5e + e2 = 0

Solving
5e + e2 = 0

Solving for variable 'e'.

Factor out the Greatest Common Factor (GCF), 'e'.
e(5 + e) = 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 '(5 + e)' equal to zero and attempt to solve: Simplifying 5 + e = 0 Solving 5 + e = 0 Move all terms containing e to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + e = 0 + -5 Combine like terms: 5 + -5 = 0 0 + e = 0 + -5 e = 0 + -5 Combine like terms: 0 + -5 = -5 e = -5 Simplifying e = -5

Solution

e = {0, -5}

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