(7r^2-6r-6)(2r-4)=0

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Solution for (7r^2-6r-6)(2r-4)=0 equation:


Simplifying
(7r2 + -6r + -6)(2r + -4) = 0

Reorder the terms:
(-6 + -6r + 7r2)(2r + -4) = 0

Reorder the terms:
(-6 + -6r + 7r2)(-4 + 2r) = 0

Multiply (-6 + -6r + 7r2) * (-4 + 2r)
(-6(-4 + 2r) + -6r * (-4 + 2r) + 7r2 * (-4 + 2r)) = 0
((-4 * -6 + 2r * -6) + -6r * (-4 + 2r) + 7r2 * (-4 + 2r)) = 0
((24 + -12r) + -6r * (-4 + 2r) + 7r2 * (-4 + 2r)) = 0
(24 + -12r + (-4 * -6r + 2r * -6r) + 7r2 * (-4 + 2r)) = 0
(24 + -12r + (24r + -12r2) + 7r2 * (-4 + 2r)) = 0
(24 + -12r + 24r + -12r2 + (-4 * 7r2 + 2r * 7r2)) = 0
(24 + -12r + 24r + -12r2 + (-28r2 + 14r3)) = 0

Combine like terms: -12r + 24r = 12r
(24 + 12r + -12r2 + -28r2 + 14r3) = 0

Combine like terms: -12r2 + -28r2 = -40r2
(24 + 12r + -40r2 + 14r3) = 0

Solving
24 + 12r + -40r2 + 14r3 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '2'.
2(12 + 6r + -20r2 + 7r3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(12 + 6r + -20r2 + 7r3)' equal to zero and attempt to solve: Simplifying 12 + 6r + -20r2 + 7r3 = 0 Solving 12 + 6r + -20r2 + 7r3 = 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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