-3r*3r-2r-5r*5r-8r=

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Solution for -3r*3r-2r-5r*5r-8r= equation: 


Simplifying
-3r * 3r + -2r + -5r * 5r + -8r = 0

Reorder the terms for easier multiplication:
-3 * 3r * r + -2r + -5r * 5r + -8r = 0

Multiply -3 * 3
-9r * r + -2r + -5r * 5r + -8r = 0

Multiply r * r
-9r2 + -2r + -5r * 5r + -8r = 0

Reorder the terms for easier multiplication:
-9r2 + -2r + -5 * 5r * r + -8r = 0

Multiply -5 * 5
-9r2 + -2r + -25r * r + -8r = 0

Multiply r * r
-9r2 + -2r + -25r2 + -8r = 0

Reorder the terms:
-2r + -8r + -9r2 + -25r2 = 0

Combine like terms: -2r + -8r = -10r
-10r + -9r2 + -25r2 = 0

Combine like terms: -9r2 + -25r2 = -34r2
-10r + -34r2 = 0

Solving
-10r + -34r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '-2r'.
-2r(5 + 17r) = 0

Ignore the factor -2.

Subproblem 1
Set the factor 'r' equal to zero and attempt to solve:

Simplifying
r = 0

Solving
r = 0

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

Simplifying
r = 0

Subproblem 2
Set the factor '(5 + 17r)' equal to zero and attempt to solve:

Simplifying
5 + 17r = 0

Solving
5 + 17r = 0

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

Add '-5' to each side of the equation.
5 + -5 + 17r = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 17r = 0 + -5
17r = 0 + -5

Combine like terms: 0 + -5 = -5
17r = -5

Divide each side by '17'.
r = -0.2941176471

Simplifying
r = -0.2941176471
Solution
r = {0, -0.2941176471}

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