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Simplifying (3x + -12)(x + 2)(x + -2) = (3x + -12)(-1x + 6) Reorder the terms: (-12 + 3x)(x + 2)(x + -2) = (3x + -12)(-1x + 6) Reorder the terms: (-12 + 3x)(2 + x)(x + -2) = (3x + -12)(-1x + 6) Reorder the terms: (-12 + 3x)(2 + x)(-2 + x) = (3x + -12)(-1x + 6) Multiply (-12 + 3x) * (2 + x) (-12(2 + x) + 3x * (2 + x))(-2 + x) = (3x + -12)(-1x + 6) ((2 * -12 + x * -12) + 3x * (2 + x))(-2 + x) = (3x + -12)(-1x + 6) ((-24 + -12x) + 3x * (2 + x))(-2 + x) = (3x + -12)(-1x + 6) (-24 + -12x + (2 * 3x + x * 3x))(-2 + x) = (3x + -12)(-1x + 6) (-24 + -12x + (6x + 3x2))(-2 + x) = (3x + -12)(-1x + 6) Combine like terms: -12x + 6x = -6x (-24 + -6x + 3x2)(-2 + x) = (3x + -12)(-1x + 6) Multiply (-24 + -6x + 3x2) * (-2 + x) (-24(-2 + x) + -6x * (-2 + x) + 3x2 * (-2 + x)) = (3x + -12)(-1x + 6) ((-2 * -24 + x * -24) + -6x * (-2 + x) + 3x2 * (-2 + x)) = (3x + -12)(-1x + 6) ((48 + -24x) + -6x * (-2 + x) + 3x2 * (-2 + x)) = (3x + -12)(-1x + 6) (48 + -24x + (-2 * -6x + x * -6x) + 3x2 * (-2 + x)) = (3x + -12)(-1x + 6) (48 + -24x + (12x + -6x2) + 3x2 * (-2 + x)) = (3x + -12)(-1x + 6) (48 + -24x + 12x + -6x2 + (-2 * 3x2 + x * 3x2)) = (3x + -12)(-1x + 6) (48 + -24x + 12x + -6x2 + (-6x2 + 3x3)) = (3x + -12)(-1x + 6) Combine like terms: -24x + 12x = -12x (48 + -12x + -6x2 + -6x2 + 3x3) = (3x + -12)(-1x + 6) Combine like terms: -6x2 + -6x2 = -12x2 (48 + -12x + -12x2 + 3x3) = (3x + -12)(-1x + 6) Reorder the terms: 48 + -12x + -12x2 + 3x3 = (-12 + 3x)(-1x + 6) Reorder the terms: 48 + -12x + -12x2 + 3x3 = (-12 + 3x)(6 + -1x) Multiply (-12 + 3x) * (6 + -1x) 48 + -12x + -12x2 + 3x3 = (-12(6 + -1x) + 3x * (6 + -1x)) 48 + -12x + -12x2 + 3x3 = ((6 * -12 + -1x * -12) + 3x * (6 + -1x)) 48 + -12x + -12x2 + 3x3 = ((-72 + 12x) + 3x * (6 + -1x)) 48 + -12x + -12x2 + 3x3 = (-72 + 12x + (6 * 3x + -1x * 3x)) 48 + -12x + -12x2 + 3x3 = (-72 + 12x + (18x + -3x2)) Combine like terms: 12x + 18x = 30x 48 + -12x + -12x2 + 3x3 = (-72 + 30x + -3x2) Solving 48 + -12x + -12x2 + 3x3 = -72 + 30x + -3x2 Solving for variable 'x'. Reorder the terms: 48 + 72 + -12x + -30x + -12x2 + 3x2 + 3x3 = -72 + 30x + -3x2 + 72 + -30x + 3x2 Combine like terms: 48 + 72 = 120 120 + -12x + -30x + -12x2 + 3x2 + 3x3 = -72 + 30x + -3x2 + 72 + -30x + 3x2 Combine like terms: -12x + -30x = -42x 120 + -42x + -12x2 + 3x2 + 3x3 = -72 + 30x + -3x2 + 72 + -30x + 3x2 Combine like terms: -12x2 + 3x2 = -9x2 120 + -42x + -9x2 + 3x3 = -72 + 30x + -3x2 + 72 + -30x + 3x2 Reorder the terms: 120 + -42x + -9x2 + 3x3 = -72 + 72 + 30x + -30x + -3x2 + 3x2 Combine like terms: -72 + 72 = 0 120 + -42x + -9x2 + 3x3 = 0 + 30x + -30x + -3x2 + 3x2 120 + -42x + -9x2 + 3x3 = 30x + -30x + -3x2 + 3x2 Combine like terms: 30x + -30x = 0 120 + -42x + -9x2 + 3x3 = 0 + -3x2 + 3x2 120 + -42x + -9x2 + 3x3 = -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 120 + -42x + -9x2 + 3x3 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(40 + -14x + -3x2 + x3) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(40 + -14x + -3x2 + x3)' equal to zero and attempt to solve: Simplifying 40 + -14x + -3x2 + x3 = 0 Solving 40 + -14x + -3x2 + x3 = 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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