r^2=-40-13r

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Solution for r^2=-40-13r equation:


Simplifying
r2 = -40 + -13r

Solving
r2 = -40 + -13r

Solving for variable 'r'.

Reorder the terms:
40 + 13r + r2 = -40 + -13r + 40 + 13r

Reorder the terms:
40 + 13r + r2 = -40 + 40 + -13r + 13r

Combine like terms: -40 + 40 = 0
40 + 13r + r2 = 0 + -13r + 13r
40 + 13r + r2 = -13r + 13r

Combine like terms: -13r + 13r = 0
40 + 13r + r2 = 0

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

Subproblem 1

Set the factor '(8 + r)' equal to zero and attempt to solve: Simplifying 8 + r = 0 Solving 8 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + r = 0 + -8 Combine like terms: 8 + -8 = 0 0 + r = 0 + -8 r = 0 + -8 Combine like terms: 0 + -8 = -8 r = -8 Simplifying r = -8

Subproblem 2

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

Solution

r = {-8, -5}

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