(3e+1)(4e-8)=0

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Solution for (3e+1)(4e-8)=0 equation: 


Simplifying
(3e + 1)(4e + -8) = 0

Reorder the terms:
(1 + 3e)(4e + -8) = 0

Reorder the terms:
(1 + 3e)(-8 + 4e) = 0

Multiply (1 + 3e) * (-8 + 4e)
(1(-8 + 4e) + 3e * (-8 + 4e)) = 0
((-8 * 1 + 4e * 1) + 3e * (-8 + 4e)) = 0
((-8 + 4e) + 3e * (-8 + 4e)) = 0
(-8 + 4e + (-8 * 3e + 4e * 3e)) = 0
(-8 + 4e + (-24e + 12e2)) = 0

Combine like terms: 4e + -24e = -20e
(-8 + -20e + 12e2) = 0

Solving
-8 + -20e + 12e2 = 0

Solving for variable 'e'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-2 + -5e + 3e2) = 0

Factor a trinomial.
4((-1 + -3e)(2 + -1e)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-1 + -3e)' equal to zero and attempt to solve:

Simplifying
-1 + -3e = 0

Solving
-1 + -3e = 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 + -3e = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -3e = 0 + 1
-3e = 0 + 1

Combine like terms: 0 + 1 = 1
-3e = 1

Divide each side by '-3'.
e = -0.3333333333

Simplifying
e = -0.3333333333

Subproblem 2
Set the factor '(2 + -1e)' equal to zero and attempt to solve:

Simplifying
2 + -1e = 0

Solving
2 + -1e = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1e = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1e = 0 + -2
-1e = 0 + -2

Combine like terms: 0 + -2 = -2
-1e = -2

Divide each side by '-1'.
e = 2

Simplifying
e = 2
Solution
e = {-0.3333333333, 2}

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