(8r-7)(r-7)=0

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Solution for (8r-7)(r-7)=0 equation: 


Simplifying
(8r + -7)(r + -7) = 0

Reorder the terms:
(-7 + 8r)(r + -7) = 0

Reorder the terms:
(-7 + 8r)(-7 + r) = 0

Multiply (-7 + 8r) * (-7 + r)
(-7(-7 + r) + 8r * (-7 + r)) = 0
((-7 * -7 + r * -7) + 8r * (-7 + r)) = 0
((49 + -7r) + 8r * (-7 + r)) = 0
(49 + -7r + (-7 * 8r + r * 8r)) = 0
(49 + -7r + (-56r + 8r2)) = 0

Combine like terms: -7r + -56r = -63r
(49 + -63r + 8r2) = 0

Solving
49 + -63r + 8r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(7 + -8r)(7 + -1r) = 0


Subproblem 1
Set the factor '(7 + -8r)' equal to zero and attempt to solve:

Simplifying
7 + -8r = 0

Solving
7 + -8r = 0

Move all terms containing r to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + -8r = 0 + -7

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

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

Divide each side by '-8'.
r = 0.875

Simplifying
r = 0.875

Subproblem 2
Set the factor '(7 + -1r)' equal to zero and attempt to solve:

Simplifying
7 + -1r = 0

Solving
7 + -1r = 0

Move all terms containing r to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + -1r = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1r = 0 + -7
-1r = 0 + -7

Combine like terms: 0 + -7 = -7
-1r = -7

Divide each side by '-1'.
r = 7

Simplifying
r = 7
Solution
r = {0.875, 7}

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