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Simplifying (2c + -3)(2c + 4)(2c + -1) = 0 Reorder the terms: (-3 + 2c)(2c + 4)(2c + -1) = 0 Reorder the terms: (-3 + 2c)(4 + 2c)(2c + -1) = 0 Reorder the terms: (-3 + 2c)(4 + 2c)(-1 + 2c) = 0 Multiply (-3 + 2c) * (4 + 2c) (-3(4 + 2c) + 2c * (4 + 2c))(-1 + 2c) = 0 ((4 * -3 + 2c * -3) + 2c * (4 + 2c))(-1 + 2c) = 0 ((-12 + -6c) + 2c * (4 + 2c))(-1 + 2c) = 0 (-12 + -6c + (4 * 2c + 2c * 2c))(-1 + 2c) = 0 (-12 + -6c + (8c + 4c2))(-1 + 2c) = 0 Combine like terms: -6c + 8c = 2c (-12 + 2c + 4c2)(-1 + 2c) = 0 Multiply (-12 + 2c + 4c2) * (-1 + 2c) (-12(-1 + 2c) + 2c * (-1 + 2c) + 4c2 * (-1 + 2c)) = 0 ((-1 * -12 + 2c * -12) + 2c * (-1 + 2c) + 4c2 * (-1 + 2c)) = 0 ((12 + -24c) + 2c * (-1 + 2c) + 4c2 * (-1 + 2c)) = 0 (12 + -24c + (-1 * 2c + 2c * 2c) + 4c2 * (-1 + 2c)) = 0 (12 + -24c + (-2c + 4c2) + 4c2 * (-1 + 2c)) = 0 (12 + -24c + -2c + 4c2 + (-1 * 4c2 + 2c * 4c2)) = 0 (12 + -24c + -2c + 4c2 + (-4c2 + 8c3)) = 0 Combine like terms: -24c + -2c = -26c (12 + -26c + 4c2 + -4c2 + 8c3) = 0 Combine like terms: 4c2 + -4c2 = 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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