e(e+2f)+3e(e-f)=

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


Simplifying
e(e + 2f) + 3e(e + -1f) = 0
(e * e + 2f * e) + 3e(e + -1f) = 0

Reorder the terms:
(2ef + e2) + 3e(e + -1f) = 0
(2ef + e2) + 3e(e + -1f) = 0
2ef + e2 + (e * 3e + -1f * 3e) = 0

Reorder the terms:
2ef + e2 + (-3ef + 3e2) = 0
2ef + e2 + (-3ef + 3e2) = 0

Reorder the terms:
2ef + -3ef + e2 + 3e2 = 0

Combine like terms: 2ef + -3ef = -1ef
-1ef + e2 + 3e2 = 0

Combine like terms: e2 + 3e2 = 4e2
-1ef + 4e2 = 0

Solving
-1ef + 4e2 = 0

Solving for variable 'e'.

Factor out the Greatest Common Factor (GCF), 'e'.
e(-1f + 4e) = 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 '(-1f + 4e)' equal to zero and attempt to solve:

Simplifying
-1f + 4e = 0

Reorder the terms:
4e + -1f = 0

Solving
4e + -1f = 0

Move all terms containing e to the left, all other terms to the right.

Add 'f' to each side of the equation.
4e + -1f + f = 0 + f

Combine like terms: -1f + f = 0
4e + 0 = 0 + f
4e = 0 + f
Remove the zero:
4e = f

Divide each side by '4'.
e = 0.25f

Simplifying
e = 0.25f
Solution
e = {0, 0.25f}

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