(r+7)(r-18)=

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Solution for (r+7)(r-18)= equation: 


Simplifying
(r + 7)(r + -18) = 0

Reorder the terms:
(7 + r)(r + -18) = 0

Reorder the terms:
(7 + r)(-18 + r) = 0

Multiply (7 + r) * (-18 + r)
(7(-18 + r) + r(-18 + r)) = 0
((-18 * 7 + r * 7) + r(-18 + r)) = 0
((-126 + 7r) + r(-18 + r)) = 0
(-126 + 7r + (-18 * r + r * r)) = 0
(-126 + 7r + (-18r + r2)) = 0

Combine like terms: 7r + -18r = -11r
(-126 + -11r + r2) = 0

Solving
-126 + -11r + r2 = 0

Solving for variable 'r'.

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


Subproblem 1
Set the factor '(-7 + -1r)' equal to zero and attempt to solve:

Simplifying
-7 + -1r = 0

Solving
-7 + -1r = 0

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

Add '7' to each side of the equation.
-7 + 7 + -1r = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1r = 0 + 7
-1r = 0 + 7

Combine like terms: 0 + 7 = 7
-1r = 7

Divide each side by '-1'.
r = -7

Simplifying
r = -7

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

Simplifying
18 + -1r = 0

Solving
18 + -1r = 0

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

Add '-18' to each side of the equation.
18 + -18 + -1r = 0 + -18

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

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

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

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

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