6r^2-26r+16=8-7r

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Solution for 6r^2-26r+16=8-7r equation: 


Simplifying
6r2 + -26r + 16 = 8 + -7r

Reorder the terms:
16 + -26r + 6r2 = 8 + -7r

Solving
16 + -26r + 6r2 = 8 + -7r

Solving for variable 'r'.

Reorder the terms:
16 + -8 + -26r + 7r + 6r2 = 8 + -7r + -8 + 7r

Combine like terms: 16 + -8 = 8
8 + -26r + 7r + 6r2 = 8 + -7r + -8 + 7r

Combine like terms: -26r + 7r = -19r
8 + -19r + 6r2 = 8 + -7r + -8 + 7r

Reorder the terms:
8 + -19r + 6r2 = 8 + -8 + -7r + 7r

Combine like terms: 8 + -8 = 0
8 + -19r + 6r2 = 0 + -7r + 7r
8 + -19r + 6r2 = -7r + 7r

Combine like terms: -7r + 7r = 0
8 + -19r + 6r2 = 0

Factor a trinomial.
(1 + -2r)(8 + -3r) = 0


Subproblem 1
Set the factor '(1 + -2r)' equal to zero and attempt to solve:

Simplifying
1 + -2r = 0

Solving
1 + -2r = 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 + -2r = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2r = 0 + -1
-2r = 0 + -1

Combine like terms: 0 + -1 = -1
-2r = -1

Divide each side by '-2'.
r = 0.5

Simplifying
r = 0.5

Subproblem 2
Set the factor '(8 + -3r)' equal to zero and attempt to solve:

Simplifying
8 + -3r = 0

Solving
8 + -3r = 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 + -3r = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3r = 0 + -8
-3r = 0 + -8

Combine like terms: 0 + -8 = -8
-3r = -8

Divide each side by '-3'.
r = 2.666666667

Simplifying
r = 2.666666667
Solution
r = {0.5, 2.666666667}

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