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Simplifying 21r2 + r + -10 = 0 Reorder the terms: -10 + r + 21r2 = 0 Solving -10 + r + 21r2 = 0 Solving for variable 'r'. Factor a trinomial. (-5 + -7r)(2 + -3r) = 0Subproblem 1
Set the factor '(-5 + -7r)' equal to zero and attempt to solve: Simplifying -5 + -7r = 0 Solving -5 + -7r = 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 + -7r = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -7r = 0 + 5 -7r = 0 + 5 Combine like terms: 0 + 5 = 5 -7r = 5 Divide each side by '-7'. r = -0.7142857143 Simplifying r = -0.7142857143Subproblem 2
Set the factor '(2 + -3r)' equal to zero and attempt to solve: Simplifying 2 + -3r = 0 Solving 2 + -3r = 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 + -3r = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3r = 0 + -2 -3r = 0 + -2 Combine like terms: 0 + -2 = -2 -3r = -2 Divide each side by '-3'. r = 0.6666666667 Simplifying r = 0.6666666667Solution
r = {-0.7142857143, 0.6666666667}
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