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Simplifying (2c + -1)(2c + 4)(2c + -3) = 0 Reorder the terms: (-1 + 2c)(2c + 4)(2c + -3) = 0 Reorder the terms: (-1 + 2c)(4 + 2c)(2c + -3) = 0 Reorder the terms: (-1 + 2c)(4 + 2c)(-3 + 2c) = 0 Multiply (-1 + 2c) * (4 + 2c) (-1(4 + 2c) + 2c * (4 + 2c))(-3 + 2c) = 0 ((4 * -1 + 2c * -1) + 2c * (4 + 2c))(-3 + 2c) = 0 ((-4 + -2c) + 2c * (4 + 2c))(-3 + 2c) = 0 (-4 + -2c + (4 * 2c + 2c * 2c))(-3 + 2c) = 0 (-4 + -2c + (8c + 4c2))(-3 + 2c) = 0 Combine like terms: -2c + 8c = 6c (-4 + 6c + 4c2)(-3 + 2c) = 0 Multiply (-4 + 6c + 4c2) * (-3 + 2c) (-4(-3 + 2c) + 6c * (-3 + 2c) + 4c2 * (-3 + 2c)) = 0 ((-3 * -4 + 2c * -4) + 6c * (-3 + 2c) + 4c2 * (-3 + 2c)) = 0 ((12 + -8c) + 6c * (-3 + 2c) + 4c2 * (-3 + 2c)) = 0 (12 + -8c + (-3 * 6c + 2c * 6c) + 4c2 * (-3 + 2c)) = 0 (12 + -8c + (-18c + 12c2) + 4c2 * (-3 + 2c)) = 0 (12 + -8c + -18c + 12c2 + (-3 * 4c2 + 2c * 4c2)) = 0 (12 + -8c + -18c + 12c2 + (-12c2 + 8c3)) = 0 Combine like terms: -8c + -18c = -26c (12 + -26c + 12c2 + -12c2 + 8c3) = 0 Combine like terms: 12c2 + -12c2 = 0 (12 + -26c + 0 + 8c3) = 0 (12 + -26c + 8c3) = 0 Solving 12 + -26c + 8c3 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '2'. 2(6 + -13c + 4c3) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(6 + -13c + 4c3)' equal to zero and attempt to solve: Simplifying 6 + -13c + 4c3 = 0 Solving 6 + -13c + 4c3 = 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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