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Simplifying 10r2 + 43r + -9 = 0 Reorder the terms: -9 + 43r + 10r2 = 0 Solving -9 + 43r + 10r2 = 0 Solving for variable 'r'. Factor a trinomial. (-9 + -2r)(1 + -5r) = 0Subproblem 1
Set the factor '(-9 + -2r)' equal to zero and attempt to solve: Simplifying -9 + -2r = 0 Solving -9 + -2r = 0 Move all terms containing r to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -2r = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -2r = 0 + 9 -2r = 0 + 9 Combine like terms: 0 + 9 = 9 -2r = 9 Divide each side by '-2'. r = -4.5 Simplifying r = -4.5Subproblem 2
Set the factor '(1 + -5r)' equal to zero and attempt to solve: Simplifying 1 + -5r = 0 Solving 1 + -5r = 0 Move all terms containing r to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -5r = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5r = 0 + -1 -5r = 0 + -1 Combine like terms: 0 + -1 = -1 -5r = -1 Divide each side by '-5'. r = 0.2 Simplifying r = 0.2Solution
r = {-4.5, 0.2}
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