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Simplifying 6r2 + 53r + -70 = 0 Reorder the terms: -70 + 53r + 6r2 = 0 Solving -70 + 53r + 6r2 = 0 Solving for variable 'r'. Factor a trinomial. (-10 + -1r)(7 + -6r) = 0Subproblem 1
Set the factor '(-10 + -1r)' equal to zero and attempt to solve: Simplifying -10 + -1r = 0 Solving -10 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1r = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1r = 0 + 10 -1r = 0 + 10 Combine like terms: 0 + 10 = 10 -1r = 10 Divide each side by '-1'. r = -10 Simplifying r = -10Subproblem 2
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 = 1.166666667Solution
r = {-10, 1.166666667}
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