[x+(-7)][x+(-3)]=

Solution for [x+(-7)][x+(-3)]= equation:

Simplifying
[x + (-7)][x + (-3)] = 0
[x + -7][x + (-3)] = 0

Reorder the terms:
[-7 + x][x + (-3)] = 0
[-7 + x][x + -3] = 0

Reorder the terms:
[-7 + x][-3 + x] = 0

Multiply [-7 + x] * [-3 + x]
[-7[-3 + x] + x[-3 + x]] = 0
[[-3 * -7 + x * -7] + x[-3 + x]] = 0
[[21 + -7x] + x[-3 + x]] = 0
[21 + -7x + [-3 * x + x * x]] = 0
[21 + -7x + [-3x + x2]] = 0

Combine like terms: -7x + -3x = -10x
[21 + -10x + x2] = 0

Solving
21 + -10x + x2 = 0

Solving for variable 'x'.

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

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

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

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

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

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

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

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

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

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

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

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

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

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