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Simplifying 49r2 + -42r + 8 = 0 Reorder the terms: 8 + -42r + 49r2 = 0 Solving 8 + -42r + 49r2 = 0 Solving for variable 'r'. Factor a trinomial. (2 + -7r)(4 + -7r) = 0Subproblem 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 + -7r)' equal to zero and attempt to solve: Simplifying 4 + -7r = 0 Solving 4 + -7r = 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 + -7r = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7r = 0 + -4 -7r = 0 + -4 Combine like terms: 0 + -4 = -4 -7r = -4 Divide each side by '-7'. r = 0.5714285714 Simplifying r = 0.5714285714Solution
r = {0.2857142857, 0.5714285714}
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