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Simplifying (x + 4)(x + -6)(4x + -5) = 0 Reorder the terms: (4 + x)(x + -6)(4x + -5) = 0 Reorder the terms: (4 + x)(-6 + x)(4x + -5) = 0 Reorder the terms: (4 + x)(-6 + x)(-5 + 4x) = 0 Multiply (4 + x) * (-6 + x) (4(-6 + x) + x(-6 + x))(-5 + 4x) = 0 ((-6 * 4 + x * 4) + x(-6 + x))(-5 + 4x) = 0 ((-24 + 4x) + x(-6 + x))(-5 + 4x) = 0 (-24 + 4x + (-6 * x + x * x))(-5 + 4x) = 0 (-24 + 4x + (-6x + x2))(-5 + 4x) = 0 Combine like terms: 4x + -6x = -2x (-24 + -2x + x2)(-5 + 4x) = 0 Multiply (-24 + -2x + x2) * (-5 + 4x) (-24(-5 + 4x) + -2x * (-5 + 4x) + x2(-5 + 4x)) = 0 ((-5 * -24 + 4x * -24) + -2x * (-5 + 4x) + x2(-5 + 4x)) = 0 ((120 + -96x) + -2x * (-5 + 4x) + x2(-5 + 4x)) = 0 (120 + -96x + (-5 * -2x + 4x * -2x) + x2(-5 + 4x)) = 0 (120 + -96x + (10x + -8x2) + x2(-5 + 4x)) = 0 (120 + -96x + 10x + -8x2 + (-5 * x2 + 4x * x2)) = 0 (120 + -96x + 10x + -8x2 + (-5x2 + 4x3)) = 0 Combine like terms: -96x + 10x = -86x (120 + -86x + -8x2 + -5x2 + 4x3) = 0 Combine like terms: -8x2 + -5x2 = -13x2 (120 + -86x + -13x2 + 4x3) = 0 Solving 120 + -86x + -13x2 + 4x3 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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