(6r+2)(4r-3)(r-3)=

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Solution for (6r+2)(4r-3)(r-3)= equation: 


Simplifying
(6r + 2)(4r + -3)(r + -3) = 0

Reorder the terms:
(2 + 6r)(4r + -3)(r + -3) = 0

Reorder the terms:
(2 + 6r)(-3 + 4r)(r + -3) = 0

Reorder the terms:
(2 + 6r)(-3 + 4r)(-3 + r) = 0

Multiply (2 + 6r) * (-3 + 4r)
(2(-3 + 4r) + 6r * (-3 + 4r))(-3 + r) = 0
((-3 * 2 + 4r * 2) + 6r * (-3 + 4r))(-3 + r) = 0
((-6 + 8r) + 6r * (-3 + 4r))(-3 + r) = 0
(-6 + 8r + (-3 * 6r + 4r * 6r))(-3 + r) = 0
(-6 + 8r + (-18r + 24r2))(-3 + r) = 0

Combine like terms: 8r + -18r = -10r
(-6 + -10r + 24r2)(-3 + r) = 0

Multiply (-6 + -10r + 24r2) * (-3 + r)
(-6(-3 + r) + -10r * (-3 + r) + 24r2 * (-3 + r)) = 0
((-3 * -6 + r * -6) + -10r * (-3 + r) + 24r2 * (-3 + r)) = 0
((18 + -6r) + -10r * (-3 + r) + 24r2 * (-3 + r)) = 0
(18 + -6r + (-3 * -10r + r * -10r) + 24r2 * (-3 + r)) = 0
(18 + -6r + (30r + -10r2) + 24r2 * (-3 + r)) = 0
(18 + -6r + 30r + -10r2 + (-3 * 24r2 + r * 24r2)) = 0
(18 + -6r + 30r + -10r2 + (-72r2 + 24r3)) = 0

Combine like terms: -6r + 30r = 24r
(18 + 24r + -10r2 + -72r2 + 24r3) = 0

Combine like terms: -10r2 + -72r2 = -82r2
(18 + 24r + -82r2 + 24r3) = 0

Solving
18 + 24r + -82r2 + 24r3 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '2'.
2(9 + 12r + -41r2 + 12r3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(9 + 12r + -41r2 + 12r3)' equal to zero and attempt to solve:

Simplifying
9 + 12r + -41r2 + 12r3 = 0

Solving
9 + 12r + -41r2 + 12r3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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