(r+9)(r+3)=0

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Solution for (r+9)(r+3)=0 equation:


Simplifying
(r + 9)(r + 3) = 0

Reorder the terms:
(9 + r)(r + 3) = 0

Reorder the terms:
(9 + r)(3 + r) = 0

Multiply (9 + r) * (3 + r)
(9(3 + r) + r(3 + r)) = 0
((3 * 9 + r * 9) + r(3 + r)) = 0
((27 + 9r) + r(3 + r)) = 0
(27 + 9r + (3 * r + r * r)) = 0
(27 + 9r + (3r + r2)) = 0

Combine like terms: 9r + 3r = 12r
(27 + 12r + r2) = 0

Solving
27 + 12r + r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(9 + r)(3 + r) = 0

Subproblem 1

Set the factor '(9 + r)' equal to zero and attempt to solve: Simplifying 9 + r = 0 Solving 9 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + r = 0 + -9 Combine like terms: 9 + -9 = 0 0 + r = 0 + -9 r = 0 + -9 Combine like terms: 0 + -9 = -9 r = -9 Simplifying r = -9

Subproblem 2

Set the factor '(3 + r)' equal to zero and attempt to solve: Simplifying 3 + r = 0 Solving 3 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + r = 0 + -3 Combine like terms: 3 + -3 = 0 0 + r = 0 + -3 r = 0 + -3 Combine like terms: 0 + -3 = -3 r = -3 Simplifying r = -3

Solution

r = {-9, -3}

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