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Simplifying (r + -9)(6r + 7) = 0 Reorder the terms: (-9 + r)(6r + 7) = 0 Reorder the terms: (-9 + r)(7 + 6r) = 0 Multiply (-9 + r) * (7 + 6r) (-9(7 + 6r) + r(7 + 6r)) = 0 ((7 * -9 + 6r * -9) + r(7 + 6r)) = 0 ((-63 + -54r) + r(7 + 6r)) = 0 (-63 + -54r + (7 * r + 6r * r)) = 0 (-63 + -54r + (7r + 6r2)) = 0 Combine like terms: -54r + 7r = -47r (-63 + -47r + 6r2) = 0 Solving -63 + -47r + 6r2 = 0 Solving for variable 'r'. Factor a trinomial. (-7 + -6r)(9 + -1r) = 0Subproblem 1
Set the factor '(-7 + -6r)' equal to zero and attempt to solve: Simplifying -7 + -6r = 0 Solving -7 + -6r = 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 + -6r = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -6r = 0 + 7 -6r = 0 + 7 Combine like terms: 0 + 7 = 7 -6r = 7 Divide each side by '-6'. r = -1.166666667 Simplifying r = -1.166666667Subproblem 2
Set the factor '(9 + -1r)' equal to zero and attempt to solve: Simplifying 9 + -1r = 0 Solving 9 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1r = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1r = 0 + -9 -1r = 0 + -9 Combine like terms: 0 + -9 = -9 -1r = -9 Divide each side by '-1'. r = 9 Simplifying r = 9Solution
r = {-1.166666667, 9}
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