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Simplifying 14r2 + -21 = 43r Reorder the terms: -21 + 14r2 = 43r Solving -21 + 14r2 = 43r Solving for variable 'r'. Reorder the terms: -21 + -43r + 14r2 = 43r + -43r Combine like terms: 43r + -43r = 0 -21 + -43r + 14r2 = 0 Factor a trinomial. (-3 + -7r)(7 + -2r) = 0Subproblem 1
Set the factor '(-3 + -7r)' equal to zero and attempt to solve: Simplifying -3 + -7r = 0 Solving -3 + -7r = 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 + -7r = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -7r = 0 + 3 -7r = 0 + 3 Combine like terms: 0 + 3 = 3 -7r = 3 Divide each side by '-7'. r = -0.4285714286 Simplifying r = -0.4285714286Subproblem 2
Set the factor '(7 + -2r)' equal to zero and attempt to solve: Simplifying 7 + -2r = 0 Solving 7 + -2r = 0 Move all terms containing r to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -2r = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2r = 0 + -7 -2r = 0 + -7 Combine like terms: 0 + -7 = -7 -2r = -7 Divide each side by '-2'. r = 3.5 Simplifying r = 3.5Solution
r = {-0.4285714286, 3.5}
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