r(r+6)-72=0

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Solution for r(r+6)-72=0 equation:


Simplifying
r(r + 6) + -72 = 0

Reorder the terms:
r(6 + r) + -72 = 0
(6 * r + r * r) + -72 = 0
(6r + r2) + -72 = 0

Reorder the terms:
-72 + 6r + r2 = 0

Solving
-72 + 6r + r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(-12 + -1r)(6 + -1r) = 0

Subproblem 1

Set the factor '(-12 + -1r)' equal to zero and attempt to solve: Simplifying -12 + -1r = 0 Solving -12 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -1r = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1r = 0 + 12 -1r = 0 + 12 Combine like terms: 0 + 12 = 12 -1r = 12 Divide each side by '-1'. r = -12 Simplifying r = -12

Subproblem 2

Set the factor '(6 + -1r)' equal to zero and attempt to solve: Simplifying 6 + -1r = 0 Solving 6 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1r = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1r = 0 + -6 -1r = 0 + -6 Combine like terms: 0 + -6 = -6 -1r = -6 Divide each side by '-1'. r = 6 Simplifying r = 6

Solution

r = {-12, 6}

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