r^2-3rx-70x^2=

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Solution for r^2-3rx-70x^2= equation: 


Simplifying
r2 + -3rx + -70x2 = 0

Reorder the terms:
-3rx + r2 + -70x2 = 0

Solving
-3rx + r2 + -70x2 = 0

Solving for variable 'r'.

Factor a trinomial.
(r + -10x)(r + 7x) = 0


Subproblem 1
Set the factor '(r + -10x)' equal to zero and attempt to solve:

Simplifying
r + -10x = 0

Solving
r + -10x = 0

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

Add '10x' to each side of the equation.
r + -10x + 10x = 0 + 10x

Combine like terms: -10x + 10x = 0
r + 0 = 0 + 10x
r = 0 + 10x
Remove the zero:
r = 10x

Simplifying
r = 10x

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 = {10x, -7x}

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