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Simplifying (7r + -1)(r + -3) = 0 Reorder the terms: (-1 + 7r)(r + -3) = 0 Reorder the terms: (-1 + 7r)(-3 + r) = 0 Multiply (-1 + 7r) * (-3 + r) (-1(-3 + r) + 7r * (-3 + r)) = 0 ((-3 * -1 + r * -1) + 7r * (-3 + r)) = 0 ((3 + -1r) + 7r * (-3 + r)) = 0 (3 + -1r + (-3 * 7r + r * 7r)) = 0 (3 + -1r + (-21r + 7r2)) = 0 Combine like terms: -1r + -21r = -22r (3 + -22r + 7r2) = 0 Solving 3 + -22r + 7r2 = 0 Solving for variable 'r'. Factor a trinomial. (1 + -7r)(3 + -1r) = 0Subproblem 1
Set the factor '(1 + -7r)' equal to zero and attempt to solve: Simplifying 1 + -7r = 0 Solving 1 + -7r = 0 Move all terms containing r to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -7r = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7r = 0 + -1 -7r = 0 + -1 Combine like terms: 0 + -1 = -1 -7r = -1 Divide each side by '-7'. r = 0.1428571429 Simplifying r = 0.1428571429Subproblem 2
Set the factor '(3 + -1r)' equal to zero and attempt to solve: Simplifying 3 + -1r = 0 Solving 3 + -1r = 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 + -1r = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1r = 0 + -3 -1r = 0 + -3 Combine like terms: 0 + -3 = -3 -1r = -3 Divide each side by '-1'. r = 3 Simplifying r = 3Solution
r = {0.1428571429, 3}
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