(x+2)(x+5)=18

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Solution for (x+2)(x+5)=18 equation: 


Simplifying
(x + 2)(x + 5) = 18

Reorder the terms:
(2 + x)(x + 5) = 18

Reorder the terms:
(2 + x)(5 + x) = 18

Multiply (2 + x) * (5 + x)
(2(5 + x) + x(5 + x)) = 18
((5 * 2 + x * 2) + x(5 + x)) = 18
((10 + 2x) + x(5 + x)) = 18
(10 + 2x + (5 * x + x * x)) = 18
(10 + 2x + (5x + x2)) = 18

Combine like terms: 2x + 5x = 7x
(10 + 7x + x2) = 18

Solving
10 + 7x + x2 = 18

Solving for variable 'x'.

Reorder the terms:
10 + -18 + 7x + x2 = 18 + -18

Combine like terms: 10 + -18 = -8
-8 + 7x + x2 = 18 + -18

Combine like terms: 18 + -18 = 0
-8 + 7x + x2 = 0

Factor a trinomial.
(-8 + -1x)(1 + -1x) = 0


Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve:

Simplifying
-8 + -1x = 0

Solving
-8 + -1x = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 0 + 8
-1x = 0 + 8

Combine like terms: 0 + 8 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8

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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1
Solution
x = {-8, 1}

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