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Simplifying (-7 + -1r)(3 + -1r) = 0 Multiply (-7 + -1r) * (3 + -1r) (-7(3 + -1r) + -1r * (3 + -1r)) = 0 ((3 * -7 + -1r * -7) + -1r * (3 + -1r)) = 0 ((-21 + 7r) + -1r * (3 + -1r)) = 0 (-21 + 7r + (3 * -1r + -1r * -1r)) = 0 (-21 + 7r + (-3r + 1r2)) = 0 Combine like terms: 7r + -3r = 4r (-21 + 4r + 1r2) = 0 Solving -21 + 4r + 1r2 = 0 Solving for variable 'r'. Factor a trinomial. (-7 + -1r)(3 + -1r) = 0Subproblem 1
Set the factor '(-7 + -1r)' equal to zero and attempt to solve: Simplifying -7 + -1r = 0 Solving -7 + -1r = 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 + -1r = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1r = 0 + 7 -1r = 0 + 7 Combine like terms: 0 + 7 = 7 -1r = 7 Divide each side by '-1'. r = -7 Simplifying r = -7Subproblem 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 = {-7, 3}
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