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Simplifying 3r2 + 40r + 100 = 0 Reorder the terms: 100 + 40r + 3r2 = 0 Solving 100 + 40r + 3r2 = 0 Solving for variable 'r'. Factor a trinomial. (10 + r)(10 + 3r) = 0Subproblem 1
Set the factor '(10 + r)' equal to zero and attempt to solve: Simplifying 10 + r = 0 Solving 10 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + r = 0 + -10 Combine like terms: 10 + -10 = 0 0 + r = 0 + -10 r = 0 + -10 Combine like terms: 0 + -10 = -10 r = -10 Simplifying r = -10Subproblem 2
Set the factor '(10 + 3r)' equal to zero and attempt to solve: Simplifying 10 + 3r = 0 Solving 10 + 3r = 0 Move all terms containing r to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 3r = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 3r = 0 + -10 3r = 0 + -10 Combine like terms: 0 + -10 = -10 3r = -10 Divide each side by '3'. r = -3.333333333 Simplifying r = -3.333333333Solution
r = {-10, -3.333333333}
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