8rx+r^2+7x^2=

Solution for 8rx+r^2+7x^2= equation:

Simplifying
8rx + r2 + 7x2 = 0

Solving
8rx + r2 + 7x2 = 0

Solving for variable 'r'.

Factor a trinomial.
(r + x)(r + 7x) = 0

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

Simplifying
r + x = 0

Solving
r + x = 0

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

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

Combine like terms: x + -1x = 0
r + 0 = 0 + -1x
r = 0 + -1x
Remove the zero:
r = -1x

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

Simplifying
r + 7x = 0

Solving
r + 7x = 0

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

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

Combine like terms: 7x + -7x = 0
r + 0 = 0 + -7x
r = 0 + -7x
Remove the zero:
r = -7x

Simplifying
r = -7x
Solution
r = {-1x, -7x}