(-4r+3r)(7r-2)=

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Solution for (-4r+3r)(7r-2)= equation: 


Simplifying
(-4r + 3r)(7r + -2) = 0

Combine like terms: -4r + 3r = -1r
(-1r)(7r + -2) = 0

Remove parenthesis around (-1r)
-1r(7r + -2) = 0

Reorder the terms:
-1r(-2 + 7r) = 0
(-2 * -1r + 7r * -1r) = 0
(2r + -7r2) = 0

Solving
2r + -7r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), 'r'.
r(2 + -7r) = 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 '(2 + -7r)' equal to zero and attempt to solve:

Simplifying
2 + -7r = 0

Solving
2 + -7r = 0

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

Add '-2' to each side of the equation.
2 + -2 + -7r = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -7r = 0 + -2
-7r = 0 + -2

Combine like terms: 0 + -2 = -2
-7r = -2

Divide each side by '-7'.
r = 0.2857142857

Simplifying
r = 0.2857142857
Solution
r = {0, 0.2857142857}

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