r^2=-15-8r

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Solution for r^2=-15-8r equation:


Simplifying
r2 = -15 + -8r

Solving
r2 = -15 + -8r

Solving for variable 'r'.

Reorder the terms:
15 + 8r + r2 = -15 + -8r + 15 + 8r

Reorder the terms:
15 + 8r + r2 = -15 + 15 + -8r + 8r

Combine like terms: -15 + 15 = 0
15 + 8r + r2 = 0 + -8r + 8r
15 + 8r + r2 = -8r + 8r

Combine like terms: -8r + 8r = 0
15 + 8r + r2 = 0

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

Subproblem 1

Set the factor '(5 + r)' equal to zero and attempt to solve: Simplifying 5 + r = 0 Solving 5 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + r = 0 + -5 Combine like terms: 5 + -5 = 0 0 + r = 0 + -5 r = 0 + -5 Combine like terms: 0 + -5 = -5 r = -5 Simplifying r = -5

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 = {-5, -3}

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