5r^2-37r-72=0

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Solution for 5r^2-37r-72=0 equation:


Simplifying
5r2 + -37r + -72 = 0

Reorder the terms:
-72 + -37r + 5r2 = 0

Solving
-72 + -37r + 5r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(-8 + -5r)(9 + -1r) = 0

Subproblem 1

Set the factor '(-8 + -5r)' equal to zero and attempt to solve: Simplifying -8 + -5r = 0 Solving -8 + -5r = 0 Move all terms containing r to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -5r = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -5r = 0 + 8 -5r = 0 + 8 Combine like terms: 0 + 8 = 8 -5r = 8 Divide each side by '-5'. r = -1.6 Simplifying r = -1.6

Subproblem 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 = 9

Solution

r = {-1.6, 9}

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