r^2-10r+8=-8

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Solution for r^2-10r+8=-8 equation:


Simplifying
r2 + -10r + 8 = -8

Reorder the terms:
8 + -10r + r2 = -8

Solving
8 + -10r + r2 = -8

Solving for variable 'r'.

Reorder the terms:
8 + 8 + -10r + r2 = -8 + 8

Combine like terms: 8 + 8 = 16
16 + -10r + r2 = -8 + 8

Combine like terms: -8 + 8 = 0
16 + -10r + 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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