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

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


Simplifying
(4r + -2)(2r3 + -3r2 + 2r + -3) = 0

Reorder the terms:
(-2 + 4r)(2r3 + -3r2 + 2r + -3) = 0

Reorder the terms:
(-2 + 4r)(-3 + 2r + -3r2 + 2r3) = 0

Multiply (-2 + 4r) * (-3 + 2r + -3r2 + 2r3)
(-2(-3 + 2r + -3r2 + 2r3) + 4r * (-3 + 2r + -3r2 + 2r3)) = 0
((-3 * -2 + 2r * -2 + -3r2 * -2 + 2r3 * -2) + 4r * (-3 + 2r + -3r2 + 2r3)) = 0
((6 + -4r + 6r2 + -4r3) + 4r * (-3 + 2r + -3r2 + 2r3)) = 0
(6 + -4r + 6r2 + -4r3 + (-3 * 4r + 2r * 4r + -3r2 * 4r + 2r3 * 4r)) = 0
(6 + -4r + 6r2 + -4r3 + (-12r + 8r2 + -12r3 + 8r4)) = 0

Reorder the terms:
(6 + -4r + -12r + 6r2 + 8r2 + -4r3 + -12r3 + 8r4) = 0

Combine like terms: -4r + -12r = -16r
(6 + -16r + 6r2 + 8r2 + -4r3 + -12r3 + 8r4) = 0

Combine like terms: 6r2 + 8r2 = 14r2
(6 + -16r + 14r2 + -4r3 + -12r3 + 8r4) = 0

Combine like terms: -4r3 + -12r3 = -16r3
(6 + -16r + 14r2 + -16r3 + 8r4) = 0

Solving
6 + -16r + 14r2 + -16r3 + 8r4 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '2'.
2(3 + -8r + 7r2 + -8r3 + 4r4) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(3 + -8r + 7r2 + -8r3 + 4r4)' equal to zero and attempt to solve: Simplifying 3 + -8r + 7r2 + -8r3 + 4r4 = 0 Solving 3 + -8r + 7r2 + -8r3 + 4r4 = 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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