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Simplifying 49r2 = 14r + 8 Reorder the terms: 49r2 = 8 + 14r Solving 49r2 = 8 + 14r Solving for variable 'r'. Reorder the terms: -8 + -14r + 49r2 = 8 + 14r + -8 + -14r Reorder the terms: -8 + -14r + 49r2 = 8 + -8 + 14r + -14r Combine like terms: 8 + -8 = 0 -8 + -14r + 49r2 = 0 + 14r + -14r -8 + -14r + 49r2 = 14r + -14r Combine like terms: 14r + -14r = 0 -8 + -14r + 49r2 = 0 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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