r^2+8r=9

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Solution for r^2+8r=9 equation:


Simplifying
r2 + 8r = 9

Reorder the terms:
8r + r2 = 9

Solving
8r + r2 = 9

Solving for variable 'r'.

Reorder the terms:
-9 + 8r + r2 = 9 + -9

Combine like terms: 9 + -9 = 0
-9 + 8r + r2 = 0

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

Subproblem 1

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

Subproblem 2

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

Solution

r = {-9, 1}

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