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

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Solution for (x+7)(x-18)=0 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 = -11x
(-126 + -11x + x2) = 0

Solving
-126 + -11x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-7 + -1x)(18 + -1x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(18 + -1x)' equal to zero and attempt to solve:

Simplifying
18 + -1x = 0

Solving
18 + -1x = 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 + -1x = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -1x = 0 + -18
-1x = 0 + -18

Combine like terms: 0 + -18 = -18
-1x = -18

Divide each side by '-1'.
x = 18

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

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