[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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