r^2+7r+12=0

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Solution for r^2+7r+12=0 equation:


Simplifying
r2 + 7r + 12 = 0

Reorder the terms:
12 + 7r + r2 = 0

Solving
12 + 7r + r2 = 0

Solving for variable 'r'.

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

Subproblem 1

Set the factor '(4 + r)' equal to zero and attempt to solve: Simplifying 4 + r = 0 Solving 4 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + r = 0 + -4 Combine like terms: 4 + -4 = 0 0 + r = 0 + -4 r = 0 + -4 Combine like terms: 0 + -4 = -4 r = -4 Simplifying r = -4

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 = {-4, -3}

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