(x+18)(x+35)=1260

Solution for (x+18)(x+35)=1260 equation:

Simplifying
(x + 18)(x + 35) = 1260

Reorder the terms:
(18 + x)(x + 35) = 1260

Reorder the terms:
(18 + x)(35 + x) = 1260

Multiply (18 + x) * (35 + x)
(18(35 + x) + x(35 + x)) = 1260
((35 * 18 + x * 18) + x(35 + x)) = 1260
((630 + 18x) + x(35 + x)) = 1260
(630 + 18x + (35 * x + x * x)) = 1260
(630 + 18x + (35x + x2)) = 1260

Combine like terms: 18x + 35x = 53x
(630 + 53x + x2) = 1260

Solving
630 + 53x + x2 = 1260

Solving for variable 'x'.

Reorder the terms:
630 + -1260 + 53x + x2 = 1260 + -1260

Combine like terms: 630 + -1260 = -630
-630 + 53x + x2 = 1260 + -1260

Combine like terms: 1260 + -1260 = 0
-630 + 53x + x2 = 0

Factor a trinomial.
(-63 + -1x)(10 + -1x) = 0

Subproblem 1
Set the factor '(-63 + -1x)' equal to zero and attempt to solve:

Simplifying
-63 + -1x = 0

Solving
-63 + -1x = 0

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

Add '63' to each side of the equation.
-63 + 63 + -1x = 0 + 63

Combine like terms: -63 + 63 = 0
0 + -1x = 0 + 63
-1x = 0 + 63

Combine like terms: 0 + 63 = 63
-1x = 63

Divide each side by '-1'.
x = -63

Simplifying
x = -63
Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Solution
x = {-63, 10}