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Simplifying (2x + 3)(4x + -4)(6x + 6) = 0 Reorder the terms: (3 + 2x)(4x + -4)(6x + 6) = 0 Reorder the terms: (3 + 2x)(-4 + 4x)(6x + 6) = 0 Reorder the terms: (3 + 2x)(-4 + 4x)(6 + 6x) = 0 Multiply (3 + 2x) * (-4 + 4x) (3(-4 + 4x) + 2x * (-4 + 4x))(6 + 6x) = 0 ((-4 * 3 + 4x * 3) + 2x * (-4 + 4x))(6 + 6x) = 0 ((-12 + 12x) + 2x * (-4 + 4x))(6 + 6x) = 0 (-12 + 12x + (-4 * 2x + 4x * 2x))(6 + 6x) = 0 (-12 + 12x + (-8x + 8x2))(6 + 6x) = 0 Combine like terms: 12x + -8x = 4x (-12 + 4x + 8x2)(6 + 6x) = 0 Multiply (-12 + 4x + 8x2) * (6 + 6x) (-12(6 + 6x) + 4x * (6 + 6x) + 8x2 * (6 + 6x)) = 0 ((6 * -12 + 6x * -12) + 4x * (6 + 6x) + 8x2 * (6 + 6x)) = 0 ((-72 + -72x) + 4x * (6 + 6x) + 8x2 * (6 + 6x)) = 0 (-72 + -72x + (6 * 4x + 6x * 4x) + 8x2 * (6 + 6x)) = 0 (-72 + -72x + (24x + 24x2) + 8x2 * (6 + 6x)) = 0 (-72 + -72x + 24x + 24x2 + (6 * 8x2 + 6x * 8x2)) = 0 (-72 + -72x + 24x + 24x2 + (48x2 + 48x3)) = 0 Combine like terms: -72x + 24x = -48x (-72 + -48x + 24x2 + 48x2 + 48x3) = 0 Combine like terms: 24x2 + 48x2 = 72x2 (-72 + -48x + 72x2 + 48x3) = 0 Solving -72 + -48x + 72x2 + 48x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '24'. 24(-3 + -2x + 3x2 + 2x3) = 0 Ignore the factor 24.Subproblem 1
Set the factor '(-3 + -2x + 3x2 + 2x3)' equal to zero and attempt to solve: Simplifying -3 + -2x + 3x2 + 2x3 = 0 Solving -3 + -2x + 3x2 + 2x3 = 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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