r^2+r-306=0

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Solution for r^2+r-306=0 equation:


Simplifying
r2 + r + -306 = 0

Reorder the terms:
-306 + r + r2 = 0

Solving
-306 + r + r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(-18 + -1r)(17 + -1r) = 0

Subproblem 1

Set the factor '(-18 + -1r)' equal to zero and attempt to solve: Simplifying -18 + -1r = 0 Solving -18 + -1r = 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 + -1r = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -1r = 0 + 18 -1r = 0 + 18 Combine like terms: 0 + 18 = 18 -1r = 18 Divide each side by '-1'. r = -18 Simplifying r = -18

Subproblem 2

Set the factor '(17 + -1r)' equal to zero and attempt to solve: Simplifying 17 + -1r = 0 Solving 17 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -1r = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -1r = 0 + -17 -1r = 0 + -17 Combine like terms: 0 + -17 = -17 -1r = -17 Divide each side by '-1'. r = 17 Simplifying r = 17

Solution

r = {-18, 17}

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