-48+8r+r^2=0

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Solution for -48+8r+r^2=0 equation:


Simplifying
-48 + 8r + r2 = 0

Solving
-48 + 8r + r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(-12 + -1r)(4 + -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 '(4 + -1r)' equal to zero and attempt to solve: Simplifying 4 + -1r = 0 Solving 4 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1r = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1r = 0 + -4 -1r = 0 + -4 Combine like terms: 0 + -4 = -4 -1r = -4 Divide each side by '-1'. r = 4 Simplifying r = 4

Solution

r = {-12, 4}

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