(x+18)(x+15)=810

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Solution for (x+18)(x+15)=810 equation: 


Simplifying
(x + 18)(x + 15) = 810

Reorder the terms:
(18 + x)(x + 15) = 810

Reorder the terms:
(18 + x)(15 + x) = 810

Multiply (18 + x) * (15 + x)
(18(15 + x) + x(15 + x)) = 810
((15 * 18 + x * 18) + x(15 + x)) = 810
((270 + 18x) + x(15 + x)) = 810
(270 + 18x + (15 * x + x * x)) = 810
(270 + 18x + (15x + x2)) = 810

Combine like terms: 18x + 15x = 33x
(270 + 33x + x2) = 810

Solving
270 + 33x + x2 = 810

Solving for variable 'x'.

Reorder the terms:
270 + -810 + 33x + x2 = 810 + -810

Combine like terms: 270 + -810 = -540
-540 + 33x + x2 = 810 + -810

Combine like terms: 810 + -810 = 0
-540 + 33x + x2 = 0

Factor a trinomial.
(-45 + -1x)(12 + -1x) = 0


Subproblem 1
Set the factor '(-45 + -1x)' equal to zero and attempt to solve:

Simplifying
-45 + -1x = 0

Solving
-45 + -1x = 0

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

Add '45' to each side of the equation.
-45 + 45 + -1x = 0 + 45

Combine like terms: -45 + 45 = 0
0 + -1x = 0 + 45
-1x = 0 + 45

Combine like terms: 0 + 45 = 45
-1x = 45

Divide each side by '-1'.
x = -45

Simplifying
x = -45

Subproblem 2
Set the factor '(12 + -1x)' equal to zero and attempt to solve:

Simplifying
12 + -1x = 0

Solving
12 + -1x = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = 0 + -12
-1x = 0 + -12

Combine like terms: 0 + -12 = -12
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12
Solution
x = {-45, 12}

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