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Simplifying (x + 6)(x + -5)(4x + -3) = 0 Reorder the terms: (6 + x)(x + -5)(4x + -3) = 0 Reorder the terms: (6 + x)(-5 + x)(4x + -3) = 0 Reorder the terms: (6 + x)(-5 + x)(-3 + 4x) = 0 Multiply (6 + x) * (-5 + x) (6(-5 + x) + x(-5 + x))(-3 + 4x) = 0 ((-5 * 6 + x * 6) + x(-5 + x))(-3 + 4x) = 0 ((-30 + 6x) + x(-5 + x))(-3 + 4x) = 0 (-30 + 6x + (-5 * x + x * x))(-3 + 4x) = 0 (-30 + 6x + (-5x + x2))(-3 + 4x) = 0 Combine like terms: 6x + -5x = 1x (-30 + 1x + x2)(-3 + 4x) = 0 Multiply (-30 + 1x + x2) * (-3 + 4x) (-30(-3 + 4x) + 1x * (-3 + 4x) + x2(-3 + 4x)) = 0 ((-3 * -30 + 4x * -30) + 1x * (-3 + 4x) + x2(-3 + 4x)) = 0 ((90 + -120x) + 1x * (-3 + 4x) + x2(-3 + 4x)) = 0 (90 + -120x + (-3 * 1x + 4x * 1x) + x2(-3 + 4x)) = 0 (90 + -120x + (-3x + 4x2) + x2(-3 + 4x)) = 0 (90 + -120x + -3x + 4x2 + (-3 * x2 + 4x * x2)) = 0 (90 + -120x + -3x + 4x2 + (-3x2 + 4x3)) = 0 Combine like terms: -120x + -3x = -123x (90 + -123x + 4x2 + -3x2 + 4x3) = 0 Combine like terms: 4x2 + -3x2 = 1x2 (90 + -123x + 1x2 + 4x3) = 0 Solving 90 + -123x + 1x2 + 4x3 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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