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Simplifying 21r2 + -90r + 24 = 0 Reorder the terms: 24 + -90r + 21r2 = 0 Solving 24 + -90r + 21r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '3'. 3(8 + -30r + 7r2) = 0 Factor a trinomial. 3((2 + -7r)(4 + -1r)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(2 + -7r)' equal to zero and attempt to solve: Simplifying 2 + -7r = 0 Solving 2 + -7r = 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 + -7r = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7r = 0 + -2 -7r = 0 + -2 Combine like terms: 0 + -2 = -2 -7r = -2 Divide each side by '-7'. r = 0.2857142857 Simplifying r = 0.2857142857Subproblem 2
Set the factor '(4 + -1r)' equal to zero and attempt to solve: Simplifying 4 + -1r = 0 Solving 4 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1r = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1r = 0 + -4 -1r = 0 + -4 Combine like terms: 0 + -4 = -4 -1r = -4 Divide each side by '-1'. r = 4 Simplifying r = 4Solution
r = {0.2857142857, 4}
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