(x+7)(x+18)=

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Solution for (x+7)(x+18)= equation: 


Simplifying
(x + 7)(x + 18) = 0

Reorder the terms:
(7 + x)(x + 18) = 0

Reorder the terms:
(7 + x)(18 + x) = 0

Multiply (7 + x) * (18 + x)
(7(18 + x) + x(18 + x)) = 0
((18 * 7 + x * 7) + x(18 + x)) = 0
((126 + 7x) + x(18 + x)) = 0
(126 + 7x + (18 * x + x * x)) = 0
(126 + 7x + (18x + x2)) = 0

Combine like terms: 7x + 18x = 25x
(126 + 25x + x2) = 0

Solving
126 + 25x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(18 + x)(7 + x) = 0


Subproblem 1
Set the factor '(18 + x)' equal to zero and attempt to solve:

Simplifying
18 + x = 0

Solving
18 + x = 0

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

Add '-18' to each side of the equation.
18 + -18 + x = 0 + -18

Combine like terms: 18 + -18 = 0
0 + x = 0 + -18
x = 0 + -18

Combine like terms: 0 + -18 = -18
x = -18

Simplifying
x = -18

Subproblem 2
Set the factor '(7 + x)' equal to zero and attempt to solve:

Simplifying
7 + x = 0

Solving
7 + x = 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 + x = 0 + -7

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

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

Simplifying
x = -7
Solution
x = {-18, -7}

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