r^2=16+6r

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Solution for r^2=16+6r equation:


Simplifying
r2 = 16 + 6r

Solving
r2 = 16 + 6r

Solving for variable 'r'.

Reorder the terms:
-16 + -6r + r2 = 16 + 6r + -16 + -6r

Reorder the terms:
-16 + -6r + r2 = 16 + -16 + 6r + -6r

Combine like terms: 16 + -16 = 0
-16 + -6r + r2 = 0 + 6r + -6r
-16 + -6r + r2 = 6r + -6r

Combine like terms: 6r + -6r = 0
-16 + -6r + r2 = 0

Factor a trinomial.
(-2 + -1r)(8 + -1r) = 0

Subproblem 1

Set the factor '(-2 + -1r)' equal to zero and attempt to solve: Simplifying -2 + -1r = 0 Solving -2 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1r = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1r = 0 + 2 -1r = 0 + 2 Combine like terms: 0 + 2 = 2 -1r = 2 Divide each side by '-1'. r = -2 Simplifying r = -2

Subproblem 2

Set the factor '(8 + -1r)' equal to zero and attempt to solve: Simplifying 8 + -1r = 0 Solving 8 + -1r = 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 + -1r = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1r = 0 + -8 -1r = 0 + -8 Combine like terms: 0 + -8 = -8 -1r = -8 Divide each side by '-1'. r = 8 Simplifying r = 8

Solution

r = {-2, 8}

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