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Simplifying 9r2 + 43r + -10 = 0 Reorder the terms: -10 + 43r + 9r2 = 0 Solving -10 + 43r + 9r2 = 0 Solving for variable 'r'. Factor a trinomial. (-5 + -1r)(2 + -9r) = 0Subproblem 1
Set the factor '(-5 + -1r)' equal to zero and attempt to solve: Simplifying -5 + -1r = 0 Solving -5 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1r = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1r = 0 + 5 -1r = 0 + 5 Combine like terms: 0 + 5 = 5 -1r = 5 Divide each side by '-1'. r = -5 Simplifying r = -5Subproblem 2
Set the factor '(2 + -9r)' equal to zero and attempt to solve: Simplifying 2 + -9r = 0 Solving 2 + -9r = 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 + -9r = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -9r = 0 + -2 -9r = 0 + -2 Combine like terms: 0 + -2 = -2 -9r = -2 Divide each side by '-9'. r = 0.2222222222 Simplifying r = 0.2222222222Solution
r = {-5, 0.2222222222}
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