(e-3)(e-7)=

Solution for (e-3)(e-7)= equation:

Simplifying
(e + -3)(e + -7) = 0

Reorder the terms:
(-3 + e)(e + -7) = 0

Reorder the terms:
(-3 + e)(-7 + e) = 0

Multiply (-3 + e) * (-7 + e)
(-3(-7 + e) + e(-7 + e)) = 0
((-7 * -3 + e * -3) + e(-7 + e)) = 0
((21 + -3e) + e(-7 + e)) = 0
(21 + -3e + (-7 * e + e * e)) = 0
(21 + -3e + (-7e + e2)) = 0

Combine like terms: -3e + -7e = -10e
(21 + -10e + e2) = 0

Solving
21 + -10e + e2 = 0

Solving for variable 'e'.

Factor a trinomial.
(3 + -1e)(7 + -1e) = 0

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

Simplifying
3 + -1e = 0

Solving
3 + -1e = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1e = 0 + -3

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

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

Divide each side by '-1'.
e = 3

Simplifying
e = 3
Subproblem 2
Set the factor '(7 + -1e)' equal to zero and attempt to solve:

Simplifying
7 + -1e = 0

Solving
7 + -1e = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1e = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1e = 0 + -7
-1e = 0 + -7

Combine like terms: 0 + -7 = -7
-1e = -7

Divide each side by '-1'.
e = 7

Simplifying
e = 7
Solution
e = {3, 7}