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

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


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

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

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

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

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

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

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

Solving for variable 'r'.

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

Reorder the terms:
-24 + -12r + 40r2 + -14r3 = 24 + -24 + 12r + -12r + -40r2 + 40r2 + 14r3 + -14r3

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

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

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

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

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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