(18-2e)(2e+0)(-e+15)=0

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Solution for (18-2e)(2e+0)(-e+15)=0 equation: 


Simplifying
(18 + -2e)(2e + 0)(-1e + 15) = 0

Reorder the terms:
(18 + -2e)(0 + 2e)(-1e + 15) = 0
Remove the zero:
(18 + -2e)(2e)(-1e + 15) = 0

Remove parenthesis around (2e)
(18 + -2e) * 2e(-1e + 15) = 0

Reorder the terms:
(18 + -2e) * 2e(15 + -1e) = 0

Reorder the terms for easier multiplication:
2e(18 + -2e)(15 + -1e) = 0

Multiply (18 + -2e) * (15 + -1e)
2e(18(15 + -1e) + -2e * (15 + -1e)) = 0
2e((15 * 18 + -1e * 18) + -2e * (15 + -1e)) = 0
2e((270 + -18e) + -2e * (15 + -1e)) = 0
2e(270 + -18e + (15 * -2e + -1e * -2e)) = 0
2e(270 + -18e + (-30e + 2e2)) = 0

Combine like terms: -18e + -30e = -48e
2e(270 + -48e + 2e2) = 0
(270 * 2e + -48e * 2e + 2e2 * 2e) = 0
(540e + -96e2 + 4e3) = 0

Solving
540e + -96e2 + 4e3 = 0

Solving for variable 'e'.

Factor out the Greatest Common Factor (GCF), '4e'.
4e(135 + -24e + e2) = 0

Factor a trinomial.
4e((9 + -1e)(15 + -1e)) = 0

Ignore the factor 4.

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 '(9 + -1e)' equal to zero and attempt to solve:

Simplifying
9 + -1e = 0

Solving
9 + -1e = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1e = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1e = 0 + -9
-1e = 0 + -9

Combine like terms: 0 + -9 = -9
-1e = -9

Divide each side by '-1'.
e = 9

Simplifying
e = 9

Subproblem 3
Set the factor '(15 + -1e)' equal to zero and attempt to solve:

Simplifying
15 + -1e = 0

Solving
15 + -1e = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1e = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1e = 0 + -15
-1e = 0 + -15

Combine like terms: 0 + -15 = -15
-1e = -15

Divide each side by '-1'.
e = 15

Simplifying
e = 15
Solution
e = {0, 9, 15}

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