r^2=-7r+8

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Solution for r^2=-7r+8 equation: 


Simplifying
r2 = -7r + 8

Reorder the terms:
r2 = 8 + -7r

Solving
r2 = 8 + -7r

Solving for variable 'r'.

Reorder the terms:
-8 + 7r + r2 = 8 + -7r + -8 + 7r

Reorder the terms:
-8 + 7r + r2 = 8 + -8 + -7r + 7r

Combine like terms: 8 + -8 = 0
-8 + 7r + r2 = 0 + -7r + 7r
-8 + 7r + r2 = -7r + 7r

Combine like terms: -7r + 7r = 0
-8 + 7r + r2 = 0

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


Subproblem 1
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

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 = {-8, 1}

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