9r^2+24r+16=0

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Solution for 9r^2+24r+16=0 equation:


Simplifying
9r2 + 24r + 16 = 0

Reorder the terms:
16 + 24r + 9r2 = 0

Solving
16 + 24r + 9r2 = 0

Solving for variable 'r'.

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

Subproblem 1

Set the factor '(4 + 3r)' equal to zero and attempt to solve: Simplifying 4 + 3r = 0 Solving 4 + 3r = 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 + 3r = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3r = 0 + -4 3r = 0 + -4 Combine like terms: 0 + -4 = -4 3r = -4 Divide each side by '3'. r = -1.333333333 Simplifying r = -1.333333333

Subproblem 2

Set the factor '(4 + 3r)' equal to zero and attempt to solve: Simplifying 4 + 3r = 0 Solving 4 + 3r = 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 + 3r = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3r = 0 + -4 3r = 0 + -4 Combine like terms: 0 + -4 = -4 3r = -4 Divide each side by '3'. r = -1.333333333 Simplifying r = -1.333333333

Solution

r = {-1.333333333, -1.333333333}

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