9r^2+12r+4=0

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Solution for 9r^2+12r+4=0 equation:


Simplifying
9r2 + 12r + 4 = 0

Reorder the terms:
4 + 12r + 9r2 = 0

Solving
4 + 12r + 9r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(2 + 3r)(2 + 3r) = 0

Subproblem 1

Set the factor '(2 + 3r)' equal to zero and attempt to solve: Simplifying 2 + 3r = 0 Solving 2 + 3r = 0 Move all terms containing r to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3r = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3r = 0 + -2 3r = 0 + -2 Combine like terms: 0 + -2 = -2 3r = -2 Divide each side by '3'. r = -0.6666666667 Simplifying r = -0.6666666667

Subproblem 2

Set the factor '(2 + 3r)' equal to zero and attempt to solve: Simplifying 2 + 3r = 0 Solving 2 + 3r = 0 Move all terms containing r to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3r = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3r = 0 + -2 3r = 0 + -2 Combine like terms: 0 + -2 = -2 3r = -2 Divide each side by '3'. r = -0.6666666667 Simplifying r = -0.6666666667

Solution

r = {-0.6666666667, -0.6666666667}

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