(4-r)(6+r)=40-(r^2-4r-18)

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Solution for (4-r)(6+r)=40-(r^2-4r-18) equation: 


Simplifying
(4 + -1r)(6 + r) = 40 + -1(r2 + -4r + -18)

Multiply (4 + -1r) * (6 + r)
(4(6 + r) + -1r * (6 + r)) = 40 + -1(r2 + -4r + -18)
((6 * 4 + r * 4) + -1r * (6 + r)) = 40 + -1(r2 + -4r + -18)
((24 + 4r) + -1r * (6 + r)) = 40 + -1(r2 + -4r + -18)
(24 + 4r + (6 * -1r + r * -1r)) = 40 + -1(r2 + -4r + -18)
(24 + 4r + (-6r + -1r2)) = 40 + -1(r2 + -4r + -18)

Combine like terms: 4r + -6r = -2r
(24 + -2r + -1r2) = 40 + -1(r2 + -4r + -18)

Reorder the terms:
24 + -2r + -1r2 = 40 + -1(-18 + -4r + r2)
24 + -2r + -1r2 = 40 + (-18 * -1 + -4r * -1 + r2 * -1)
24 + -2r + -1r2 = 40 + (18 + 4r + -1r2)

Combine like terms: 40 + 18 = 58
24 + -2r + -1r2 = 58 + 4r + -1r2

Add 'r2' to each side of the equation.
24 + -2r + -1r2 + r2 = 58 + 4r + -1r2 + r2

Combine like terms: -1r2 + r2 = 0
24 + -2r + 0 = 58 + 4r + -1r2 + r2
24 + -2r = 58 + 4r + -1r2 + r2

Combine like terms: -1r2 + r2 = 0
24 + -2r = 58 + 4r + 0
24 + -2r = 58 + 4r

Solving
24 + -2r = 58 + 4r

Solving for variable 'r'.

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

Add '-4r' to each side of the equation.
24 + -2r + -4r = 58 + 4r + -4r

Combine like terms: -2r + -4r = -6r
24 + -6r = 58 + 4r + -4r

Combine like terms: 4r + -4r = 0
24 + -6r = 58 + 0
24 + -6r = 58

Add '-24' to each side of the equation.
24 + -24 + -6r = 58 + -24

Combine like terms: 24 + -24 = 0
0 + -6r = 58 + -24
-6r = 58 + -24

Combine like terms: 58 + -24 = 34
-6r = 34

Divide each side by '-6'.
r = -5.666666667

Simplifying
r = -5.666666667

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