-9(3r^2-8r)+7(10r^2+4r)=

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Solution for -9(3r^2-8r)+7(10r^2+4r)= equation: 


Simplifying
-9(3r2 + -8r) + 7(10r2 + 4r) = 0

Reorder the terms:
-9(-8r + 3r2) + 7(10r2 + 4r) = 0
(-8r * -9 + 3r2 * -9) + 7(10r2 + 4r) = 0
(72r + -27r2) + 7(10r2 + 4r) = 0

Reorder the terms:
72r + -27r2 + 7(4r + 10r2) = 0
72r + -27r2 + (4r * 7 + 10r2 * 7) = 0
72r + -27r2 + (28r + 70r2) = 0

Reorder the terms:
72r + 28r + -27r2 + 70r2 = 0

Combine like terms: 72r + 28r = 100r
100r + -27r2 + 70r2 = 0

Combine like terms: -27r2 + 70r2 = 43r2
100r + 43r2 = 0

Solving
100r + 43r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), 'r'.
r(100 + 43r) = 0


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 '(100 + 43r)' equal to zero and attempt to solve:

Simplifying
100 + 43r = 0

Solving
100 + 43r = 0

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

Add '-100' to each side of the equation.
100 + -100 + 43r = 0 + -100

Combine like terms: 100 + -100 = 0
0 + 43r = 0 + -100
43r = 0 + -100

Combine like terms: 0 + -100 = -100
43r = -100

Divide each side by '43'.
r = -2.325581395

Simplifying
r = -2.325581395
Solution
r = {0, -2.325581395}

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