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Simplifying 7r2 + 10r + -72 = 0 Reorder the terms: -72 + 10r + 7r2 = 0 Solving -72 + 10r + 7r2 = 0 Solving for variable 'r'. Factor a trinomial. (-4 + -1r)(18 + -7r) = 0Subproblem 1
Set the factor '(-4 + -1r)' equal to zero and attempt to solve: Simplifying -4 + -1r = 0 Solving -4 + -1r = 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 + -1r = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1r = 0 + 4 -1r = 0 + 4 Combine like terms: 0 + 4 = 4 -1r = 4 Divide each side by '-1'. r = -4 Simplifying r = -4Subproblem 2
Set the factor '(18 + -7r)' equal to zero and attempt to solve: Simplifying 18 + -7r = 0 Solving 18 + -7r = 0 Move all terms containing r to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -7r = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -7r = 0 + -18 -7r = 0 + -18 Combine like terms: 0 + -18 = -18 -7r = -18 Divide each side by '-7'. r = 2.571428571 Simplifying r = 2.571428571Solution
r = {-4, 2.571428571}
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