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Simplifying -10r2 + -97r + 30 = 0 Reorder the terms: 30 + -97r + -10r2 = 0 Solving 30 + -97r + -10r2 = 0 Solving for variable 'r'. Factor a trinomial. (3 + -10r)(10 + r) = 0Subproblem 1
Set the factor '(3 + -10r)' equal to zero and attempt to solve: Simplifying 3 + -10r = 0 Solving 3 + -10r = 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 + -10r = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -10r = 0 + -3 -10r = 0 + -3 Combine like terms: 0 + -3 = -3 -10r = -3 Divide each side by '-10'. r = 0.3 Simplifying r = 0.3Subproblem 2
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 = -10Solution
r = {0.3, -10}
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