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Simplifying (9x + -3)(5x + 25)(12x + -24) = 0 Reorder the terms: (-3 + 9x)(5x + 25)(12x + -24) = 0 Reorder the terms: (-3 + 9x)(25 + 5x)(12x + -24) = 0 Reorder the terms: (-3 + 9x)(25 + 5x)(-24 + 12x) = 0 Multiply (-3 + 9x) * (25 + 5x) (-3(25 + 5x) + 9x * (25 + 5x))(-24 + 12x) = 0 ((25 * -3 + 5x * -3) + 9x * (25 + 5x))(-24 + 12x) = 0 ((-75 + -15x) + 9x * (25 + 5x))(-24 + 12x) = 0 (-75 + -15x + (25 * 9x + 5x * 9x))(-24 + 12x) = 0 (-75 + -15x + (225x + 45x2))(-24 + 12x) = 0 Combine like terms: -15x + 225x = 210x (-75 + 210x + 45x2)(-24 + 12x) = 0 Multiply (-75 + 210x + 45x2) * (-24 + 12x) (-75(-24 + 12x) + 210x * (-24 + 12x) + 45x2 * (-24 + 12x)) = 0 ((-24 * -75 + 12x * -75) + 210x * (-24 + 12x) + 45x2 * (-24 + 12x)) = 0 ((1800 + -900x) + 210x * (-24 + 12x) + 45x2 * (-24 + 12x)) = 0 (1800 + -900x + (-24 * 210x + 12x * 210x) + 45x2 * (-24 + 12x)) = 0 (1800 + -900x + (-5040x + 2520x2) + 45x2 * (-24 + 12x)) = 0 (1800 + -900x + -5040x + 2520x2 + (-24 * 45x2 + 12x * 45x2)) = 0 (1800 + -900x + -5040x + 2520x2 + (-1080x2 + 540x3)) = 0 Combine like terms: -900x + -5040x = -5940x (1800 + -5940x + 2520x2 + -1080x2 + 540x3) = 0 Combine like terms: 2520x2 + -1080x2 = 1440x2 (1800 + -5940x + 1440x2 + 540x3) = 0 Solving 1800 + -5940x + 1440x2 + 540x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '180'. 180(10 + -33x + 8x2 + 3x3) = 0 Ignore the factor 180.Subproblem 1
Set the factor '(10 + -33x + 8x2 + 3x3)' equal to zero and attempt to solve: Simplifying 10 + -33x + 8x2 + 3x3 = 0 Solving 10 + -33x + 8x2 + 3x3 = 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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