(x+18)(x-6)=25

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Solution for (x+18)(x-6)=25 equation: 


Simplifying
(x + 18)(x + -6) = 25

Reorder the terms:
(18 + x)(x + -6) = 25

Reorder the terms:
(18 + x)(-6 + x) = 25

Multiply (18 + x) * (-6 + x)
(18(-6 + x) + x(-6 + x)) = 25
((-6 * 18 + x * 18) + x(-6 + x)) = 25
((-108 + 18x) + x(-6 + x)) = 25
(-108 + 18x + (-6 * x + x * x)) = 25
(-108 + 18x + (-6x + x2)) = 25

Combine like terms: 18x + -6x = 12x
(-108 + 12x + x2) = 25

Solving
-108 + 12x + x2 = 25

Solving for variable 'x'.

Reorder the terms:
-108 + -25 + 12x + x2 = 25 + -25

Combine like terms: -108 + -25 = -133
-133 + 12x + x2 = 25 + -25

Combine like terms: 25 + -25 = 0
-133 + 12x + x2 = 0

Factor a trinomial.
(-19 + -1x)(7 + -1x) = 0


Subproblem 1
Set the factor '(-19 + -1x)' equal to zero and attempt to solve:

Simplifying
-19 + -1x = 0

Solving
-19 + -1x = 0

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

Add '19' to each side of the equation.
-19 + 19 + -1x = 0 + 19

Combine like terms: -19 + 19 = 0
0 + -1x = 0 + 19
-1x = 0 + 19

Combine like terms: 0 + 19 = 19
-1x = 19

Divide each side by '-1'.
x = -19

Simplifying
x = -19

Subproblem 2
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
Solution
x = {-19, 7}

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